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41331121034144 = 254173934261109
BaseRepresentation
bin10010110010111001001101…
…10010011001001110100000
312102100012211212222210122212
421121130212302121032200
520404132113441043034
6223523131015421252
711464034465124164
oct1131344662311640
9172305755883585
1041331121034144
1112195480361897
1247762b8984828
131a0a67b0909b6
14a2c618d24ca4
154ba1b5da92ce
hex259726c993a0

41331121034144 has 48 divisors (see below), whose sum is σ = 83366588861640. Its totient is φ = 20158790615040.

The previous prime is 41331121034131. The next prime is 41331121034173. The reversal of 41331121034144 is 44143012113314.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11175515280400 + 30155605753744 = 3342980^2 + 5491412^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 41331121034144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7569062 + ... + 11830170.

Almost surely, 241331121034144 is an apocalyptic number.

It is an amenable number.

41331121034144 is an abundant number, since it is smaller than the sum of its proper divisors (42035467827496).

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

41331121034144 is a wasteful number, since it uses less digits than its factorization.

41331121034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268553 (or 4268545 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 41331121034144 its reverse (44143012113314), we get a palindrome (85474133147458).

The spelling of 41331121034144 in words is "forty-one trillion, three hundred thirty-one billion, one hundred twenty-one million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 7393 14786 29572 59144 118288 236576 303113 606226 1212452 2424904 4261109 4849808 8522218 9699616 17044436 34088872 68177744 136355488 174705469 349410938 698821876 1397643752 2795287504 5590575008 31502378837 63004757674 126009515348 252019030696 504038061392 1008076122784 1291597532317 2583195064634 5166390129268 10332780258536 20665560517072 41331121034144