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31413042334332 = 223241101210718307
BaseRepresentation
bin1110010010001111010110…
…01110101100101001111100
311010020001112221010210012200
413021013223032230221330
513104132402314144312
6150450541420231500
76421342321143501
oct711075316545174
9133201487123180
1031413042334332
11a01121850914a
12363408439b590
13146b31111acc9
147a8583bc14a8
153971d2e4e0dc
hex1c91eb3aca7c

31413042334332 has 72 divisors (see below), whose sum is σ = 82147268063952. Its totient is φ = 10114478688000.

The previous prime is 31413042334319. The next prime is 31413042334403. The reversal of 31413042334332 is 23343324031413.

31413042334332 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 304 + 2 + 3 + 343 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105210078 + ... + 105508229.

It is an arithmetic number, because the mean of its divisors is an integer number (1140934278666).

Almost surely, 231413042334332 is an apocalyptic number.

It is an amenable number.

31413042334332 is an abundant number, since it is smaller than the sum of its proper divisors (50734225729620).

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

31413042334332 is a wasteful number, since it uses less digits than its factorization.

31413042334332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210718459 (or 210718454 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 31413042334332 its reverse (23343324031413), we get a palindrome (54756366365745).

The spelling of 31413042334332 in words is "thirty-one trillion, four hundred thirteen billion, forty-two million, three hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 101 123 164 202 246 303 369 404 492 606 738 909 1212 1476 1818 3636 4141 8282 12423 16564 24846 37269 49692 74538 149076 210718307 421436614 632154921 842873228 1264309842 1896464763 2528619684 3792929526 7585859052 8639450587 17278901174 21282549007 25918351761 34557802348 42565098014 51836703522 63847647021 77755055283 85130196028 103673407044 127695294042 155510110566 191542941063 255390588084 311020221132 383085882126 766171764252 872584509287 1745169018574 2617753527861 3490338037148 5235507055722 7853260583583 10471014111444 15706521167166 31413042334332