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31143402342 = 23313314093499
BaseRepresentation
bin11101000000010010…
…101001101101100110
32222101102210202112000
4131000102221231212
51002240202333332
622150155110130
72151522360243
oct350022515546
988342722460
1031143402342
1112231703148
126051a42346
132c24231130
1417162445ca
15c241d4b7c
hex7404a9b66

31143402342 has 128 divisors (see below), whose sum is σ = 77145600000. Its totient is φ = 9248152320.

The previous prime is 31143402259. The next prime is 31143402359. The reversal of 31143402342 is 24320434113.

31143402342 is a `hidden beast` number, since 311 + 4 + 3 + 4 + 0 + 2 + 342 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8898909 + ... + 8902407.

It is an arithmetic number, because the mean of its divisors is an integer number (602700000).

Almost surely, 231143402342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31143402342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38572800000).

31143402342 is an abundant number, since it is smaller than the sum of its proper divisors (46002197658).

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

31143402342 is a wasteful number, since it uses less digits than its factorization.

31143402342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 31143402342 its reverse (24320434113), we get a palindrome (55463836455).

The spelling of 31143402342 in words is "thirty-one billion, one hundred forty-three million, four hundred two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 186 234 279 351 403 409 558 702 806 818 837 1209 1227 1674 2418 2454 3499 3627 3681 5317 6998 7254 7362 10497 10634 10881 11043 12679 15951 20994 21762 22086 25358 31491 31902 38037 45487 47853 62982 76074 90974 94473 95706 108469 114111 136461 143559 164827 188946 216938 228222 272922 287118 325407 329654 342333 409383 494481 650814 684666 818766 976221 988962 1228149 1410097 1431091 1483443 1952442 2456298 2820194 2862182 2928663 2966886 4230291 4293273 4450329 5857326 8460582 8586546 8900658 12690873 12879819 18604183 25381746 25759638 37208366 38072619 38639457 44363821 55812549 76145238 77278914 88727642 111625098 133091463 167437647 266182926 334875294 399274389 502312941 576729673 798548778 1004625882 1153459346 1197823167 1730189019 2395646334 3460378038 5190567057 10381134114 15571701171 31143402342