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154441301340 = 223511328380491
BaseRepresentation
bin1000111111010101101…
…0110011110101011100
3112202122021112222221210
42033311122303311130
510012243433120330
6154541021024420
714105125254444
oct2176532636534
9482567488853
10154441301340
115a5530a7627
1225b220b5110
1311743743411
14769157b124
15403d9758b0
hex23f56b3d5c

154441301340 has 96 divisors (see below), whose sum is σ = 437809510656. Its totient is φ = 40675138560.

The previous prime is 154441301309. The next prime is 154441301359. The reversal of 154441301340 is 43103144451.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 154441301298 and 154441301307.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1878495 + ... + 1958985.

It is an arithmetic number, because the mean of its divisors is an integer number (4560515736).

Almost surely, 2154441301340 is an apocalyptic number.

154441301340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154441301340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218904755328).

154441301340 is an abundant number, since it is smaller than the sum of its proper divisors (283368209316).

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

154441301340 is a wasteful number, since it uses less digits than its factorization.

154441301340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80899 (or 80897 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 154441301340 its reverse (43103144451), we get a palindrome (197544445791).

The spelling of 154441301340 in words is "one hundred fifty-four billion, four hundred forty-one million, three hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 283 339 452 565 566 678 849 1130 1132 1356 1415 1695 1698 2260 2830 3390 3396 4245 5660 6780 8490 16980 31979 63958 80491 95937 127916 159895 160982 191874 241473 319790 321964 383748 402455 479685 482946 639580 804910 959370 965892 1207365 1609820 1918740 2414730 4829460 9095483 18190966 22778953 27286449 36381932 45477415 45557906 54572898 68336859 90954830 91115812 109145796 113894765 136432245 136673718 181909660 227789530 272864490 273347436 341684295 455579060 545728980 683368590 1366737180 2574021689 5148043378 7722065067 10296086756 12870108445 15444130134 25740216890 30888260268 38610325335 51480433780 77220650670 154441301340