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32413033031423 = 1119291012524243
BaseRepresentation
bin1110101111010101111110…
…10100011110011011111111
311020202122201000001120111112
413113222333110132123333
513222023342424001143
6152534201455312235
76553523113625402
oct727527724363377
9136678630046445
1032413033031423
11a36732115a690
123775a4321b67b
1315116c74aa365
14800b28cc5d39
153b320d978e18
hex1d7abf51e6ff

32413033031423 has 48 divisors (see below), whose sum is σ = 38889258710400. Its totient is φ = 26686014768000.

The previous prime is 32413033031417. The next prime is 32413033031521.

32413033031423 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32413033031423 - 212 = 32413033027327 is a prime.

It is a super-3 number, since 3×324130330314233 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32413033031423.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32413033031413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61566140 + ... + 62090382.

It is an arithmetic number, because the mean of its divisors is an integer number (810192889800).

Almost surely, 232413033031423 is an apocalyptic number.

32413033031423 is a deficient number, since it is larger than the sum of its proper divisors (6476225678977).

32413033031423 is a wasteful number, since it uses less digits than its factorization.

32413033031423 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524504 (or 524403 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

It can be divided in two parts, 3241303 and 3031423, that added together give a palindrome (6272726).

The spelling of 32413033031423 in words is "thirty-two trillion, four hundred thirteen billion, thirty-three million, thirty-one thousand, four hundred twenty-three".

Divisors: 1 11 19 29 101 209 319 551 1111 1919 2929 6061 10201 21109 32219 55651 112211 193819 295829 524243 612161 2132009 3254119 5620751 5766673 9960617 15203047 52948543 61828261 109566787 167233517 288857893 582433973 1006022317 1535507747 3177436823 5347802843 11066245487 16890585217 29174647193 58825831273 101608254017 155086282447 320921119123 1117690794187 1705949106917 2946639366493 32413033031423