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31410113538972 = 22373137091684999
BaseRepresentation
bin1110010010001001111001…
…01010001110101110011100
311010012202222211002120021110
413021010330222032232130
513104110403031221342
6150445335034102020
76421206615612510
oct711047452165634
9133182884076243
1031410113538972
11a00aa55261913
1236335a757a910
13146ac654076bc
147a8386c32140
153970b0c72c9c
hex1c913ca8eb9c

31410113538972 has 96 divisors (see below), whose sum is σ = 84146473600000. Its totient is φ = 8933023636992.

The previous prime is 31410113538971. The next prime is 31410113538983. The reversal of 31410113538972 is 27983531101413.

It is a super-2 number, since 2×314101135389722 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31410113538971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17798529 + ... + 19483527.

Almost surely, 231410113538972 is an apocalyptic number.

It is an amenable number.

31410113538972 is an abundant number, since it is smaller than the sum of its proper divisors (52736360061028).

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

31410113538972 is a wasteful number, since it uses less digits than its factorization.

31410113538972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686035 (or 1686033 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 31410113538972 in words is "thirty-one trillion, four hundred ten billion, one hundred thirteen million, five hundred thirty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 313 626 709 939 1252 1418 1878 2127 2191 2836 3756 4254 4382 4963 6573 8508 8764 9926 13146 14889 19852 26292 29778 59556 221917 443834 665751 887668 1331502 1553419 1684999 2663004 3106838 3369998 4660257 5054997 6213676 6739996 9320514 10109994 11794993 18641028 20219988 23589986 35384979 47179972 70769958 141539916 527404687 1054809374 1194664291 1582214061 2109618748 2389328582 3164428122 3583992873 3691832809 4778657164 6328856244 7167985746 7383665618 8362650037 11075498427 14335971492 14767331236 16725300074 22150996854 25087950111 33450600148 44301993708 50175900222 100351800444 373929923083 747859846166 1121789769249 1495719692332 2243579538498 2617509461581 4487159076996 5235018923162 7852528384743 10470037846324 15705056769486 31410113538972