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41201413404232 = 23192317368123129
BaseRepresentation
bin10010101111000111100111…
…00111000011011001001000
312101212211001100012111101211
421113203303213003121020
520400020443312413412
6223343400143022504
711451463301350564
oct1127436347033110
9171784040174354
1041201413404232
111214546a825734
124755139b9aa34
1319cb379945123
14a262326046a4
154b6b23a48ca7
hex2578f39c3648

41201413404232 has 64 divisors (see below), whose sum is σ = 85344657264000. Its totient is φ = 18560009977344.

The previous prime is 41201413404227. The next prime is 41201413404233. The reversal of 41201413404232 is 23240431410214.

It is a happy number.

41201413404232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41201413404194 and 41201413404203.

It is not an unprimeable number, because it can be changed into a prime (41201413404233) 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 15 ways as a sum of consecutive naturals, for example, 33456757 + ... + 34666372.

It is an arithmetic number, because the mean of its divisors is an integer number (1333510269750).

Almost surely, 241201413404232 is an apocalyptic number.

It is an amenable number.

41201413404232 is an abundant number, since it is smaller than the sum of its proper divisors (44143243859768).

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

41201413404232 is a wasteful number, since it uses less digits than its factorization.

41201413404232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68123350 (or 68123346 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 41201413404232 its reverse (23240431410214), we get a palindrome (64441844814446).

The spelling of 41201413404232 in words is "forty-one trillion, two hundred one billion, four hundred thirteen million, four hundred four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 19 23 38 46 76 92 152 173 184 346 437 692 874 1384 1748 3287 3496 3979 6574 7958 13148 15916 26296 31832 75601 151202 302404 604808 68123129 136246258 272492516 544985032 1294339451 1566831967 2588678902 3133663934 5177357804 6267327868 10354715608 11785301317 12534655736 23570602634 29769807373 47141205268 59539614746 94282410536 119079229492 223920725023 238158458984 271061930291 447841450046 542123860582 895682900092 1084247721164 1791365800184 2168495442328 5150176675529 10300353351058 20600706702116 41201413404232