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414123400123032 = 233198693104470879
BaseRepresentation
bin101111000101001001001111…
…0001010000101001010011000
32000022021210212210021211100110
41132022102132022011022120
5413234444210412414112
64024433355203004320
7153141266624124435
oct13612223612051230
92008253783254313
10414123400123032
1110aa52825216136
123a543a809696a0
1314a0c890c25b82
14743997281cb8c
1532d247776113c
hex178a49e285298

414123400123032 has 64 divisors (see below), whose sum is σ = 1089923796864000. Its totient is φ = 130760765506944.

The previous prime is 414123400123007. The next prime is 414123400123073. The reversal of 414123400123032 is 230321004321414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48271432 + ... + 56199447.

It is an arithmetic number, because the mean of its divisors is an integer number (17030059326000).

Almost surely, 2414123400123032 is an apocalyptic number.

It is an amenable number.

414123400123032 is an abundant number, since it is smaller than the sum of its proper divisors (675800396740968).

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

414123400123032 is a wasteful number, since it uses less digits than its factorization.

414123400123032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104479600 (or 104479596 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 414123400123032 its reverse (230321004321414), we get a palindrome (644444404444446).

The spelling of 414123400123032 in words is "four hundred fourteen trillion, one hundred twenty-three billion, four hundred million, one hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 8693 17386 26079 34772 52158 69544 104316 165167 208632 330334 495501 660668 991002 1321336 1982004 3964008 104470879 208941758 313412637 417883516 626825274 835767032 1253650548 1984946701 2507301096 3969893402 5954840103 7939786804 11909680206 15879573608 23819360412 47638720824 908165351147 1816330702294 2724496053441 3632661404588 5448992106882 7265322809176 10897984213764 17255141671793 21795968427528 34510283343586 51765425015379 69020566687172 103530850030758 138041133374344 207061700061516 414123400123032