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54341402103144 = 23321367866523187
BaseRepresentation
bin11000101101100010101111…
…11110000000110101101000
321010101222122202010202020200
430112301113332000311220
524110312142414300034
6311324032343152200
714306015413422642
oct1426612776006550
9233358582122220
1054341402103144
111635107189a922
126117889745660
1324424aba366a0
14d5c1d0555892
15643827e1da99
hex316c57f80d68

54341402103144 has 96 divisors (see below), whose sum is σ = 160861364620320. Its totient is φ = 16470872719488.

The previous prime is 54341402103137. The next prime is 54341402103161. The reversal of 54341402103144 is 44130120414345.

It is a happy number.

54341402103144 is a `hidden beast` number, since 5 + 4 + 3 + 4 + 1 + 402 + 103 + 144 = 666.

54341402103144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 54341402103099 and 54341402103108.

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 23 ways as a sum of consecutive naturals, for example, 433198882 + ... + 433324305.

It is an arithmetic number, because the mean of its divisors is an integer number (1675639214795).

Almost surely, 254341402103144 is an apocalyptic number.

It is an amenable number.

54341402103144 is an abundant number, since it is smaller than the sum of its proper divisors (106519962517176).

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

54341402103144 is a wasteful number, since it uses less digits than its factorization.

54341402103144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866523279 (or 866523272 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 54341402103144 its reverse (44130120414345), we get a palindrome (98471522517489).

The spelling of 54341402103144 in words is "fifty-four trillion, three hundred forty-one billion, four hundred two million, one hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 67 72 78 104 117 134 156 201 234 268 312 402 468 536 603 804 871 936 1206 1608 1742 2412 2613 3484 4824 5226 6968 7839 10452 15678 20904 31356 62712 866523187 1733046374 2599569561 3466092748 5199139122 6932185496 7798708683 10398278244 11264801431 15597417366 20796556488 22529602862 31194834732 33794404293 45059205724 58057053529 62389669464 67588808586 90118411448 101383212879 116114107058 135177617172 174171160587 202766425758 232228214116 270355234344 348342321174 405532851516 464456428232 522513481761 696684642348 754741695877 811065703032 1045026963522 1393369284696 1509483391754 2090053927044 2264225087631 3018966783508 4180107854088 4528450175262 6037933567016 6792675262893 9056900350524 13585350525786 18113800701048 27170701051572 54341402103144