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631462140342 = 23211113131215443
BaseRepresentation
bin10010011000001100001…
…00111001100110110110
32020100220200102101100100
421030012010321212312
540321213301442332
61202031213054530
763423135426465
oct11140604714666
92210820371310
10631462140342
1122388aa09280
12a246b487446
1347714c1a2b7
14227c49789dc
151165c01367c
hex93061399b6

631462140342 has 96 divisors (see below), whose sum is σ = 1517256614016. Its totient is φ = 188210131200.

The previous prime is 631462140227. The next prime is 631462140377. The reversal of 631462140342 is 243041264136.

631462140342 is a `hidden beast` number, since 63 + 1 + 46 + 214 + 0 + 342 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 631462140297 and 631462140306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2823273 + ... + 3038715.

It is an arithmetic number, because the mean of its divisors is an integer number (15804756396).

Almost surely, 2631462140342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631462140342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758628307008).

631462140342 is an abundant number, since it is smaller than the sum of its proper divisors (885794473674).

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

631462140342 is a wasteful number, since it uses less digits than its factorization.

631462140342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215706 (or 215703 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 631462140342 in words is "six hundred thirty-one billion, four hundred sixty-two million, one hundred forty thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 113 131 198 226 262 339 393 678 786 1017 1179 1243 1441 2034 2358 2486 2882 3729 4323 7458 8646 11187 12969 14803 22374 25938 29606 44409 88818 133227 162833 215443 266454 325666 430886 488499 646329 976998 1292658 1465497 1938987 2369873 2930994 3877974 4739746 7109619 14219238 21328857 24345059 28223033 42657714 48690118 56446066 73035177 84669099 146070354 169338198 219105531 254007297 267795649 310453363 438211062 508014594 535591298 620906726 803386947 931360089 1606773894 1862720178 2410160841 2794080267 3189202729 4820321682 5588160534 6378405458 9567608187 19135216374 28702824561 35081230019 57405649122 70162460038 105243690057 210487380114 315731070171 631462140342