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154101440150244 = 2232232831531429551
BaseRepresentation
bin100011000010011110001001…
…100110010111101011100100
3202012121221202022201001100100
4203002132021212113223210
5130144244222134301434
61303425120240344100
744313314225622666
oct4302361146275344
9665557668631310
10154101440150244
1145113065604144
1215349a84615030
1367ca91b63c892
142a0a799b80536
1512c37eac9a699
hex8c2789997ae4

154101440150244 has 144 divisors (see below), whose sum is σ = 408174138537984. Its totient is φ = 48928081752000.

The previous prime is 154101440150243. The next prime is 154101440150291. The reversal of 154101440150244 is 442051044101451.

154101440150244 is a `hidden beast` number, since 1 + 5 + 4 + 1 + 0 + 1 + 4 + 401 + 5 + 0 + 244 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 154101440150199 and 154101440150208.

It is not an unprimeable number, because it can be changed into a prime (154101440150243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358535269 + ... + 358964819.

It is an arithmetic number, because the mean of its divisors is an integer number (2834542628736).

Almost surely, 2154101440150244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154101440150244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204087069268992).

154101440150244 is an abundant number, since it is smaller than the sum of its proper divisors (254072698387740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

154101440150244 is a wasteful number, since it uses less digits than its factorization.

154101440150244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431398 (or 431393 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 154101440150244 its reverse (442051044101451), we get a palindrome (596152484251695).

The spelling of 154101440150244 in words is "one hundred fifty-four trillion, one hundred one billion, four hundred forty million, one hundred fifty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 283 414 566 828 849 1132 1531 1698 2547 3062 3396 4593 5094 6124 6509 9186 10188 13018 13779 18372 19527 26036 27558 35213 39054 55116 58581 70426 78108 105639 117162 140852 211278 234324 316917 422556 429551 433273 633834 859102 866546 1267668 1288653 1299819 1718204 1733092 2577306 2599638 3865959 3899457 5154612 5199276 7731918 7798914 9879673 9965279 15463836 15597828 19759346 19930558 29639019 29895837 39518692 39861116 59278038 59791674 88917057 89687511 118556076 119583348 121562933 177834114 179375022 243125866 355668228 358750044 364688799 486251732 657642581 729377598 1094066397 1315285162 1458755196 1972927743 2188132794 2630570324 2795947459 3945855486 4376265588 5591894918 5918783229 7891710972 8387842377 11183789836 11837566458 15125779363 16775684754 23675132916 25163527131 30251558726 33551369508 45377338089 50327054262 60503117452 90754676178 100654108524 136132014267 181509352356 186112850423 272264028534 372225700846 544528057068 558338551269 744451401692 1116677102538 1675015653807 2233354205076 3350031307614 4280595559729 6700062615228 8561191119458 12841786679187 17122382238916 25683573358374 38525360037561 51367146716748 77050720075122 154101440150244