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31432340441140 = 22517197469279493
BaseRepresentation
bin1110010010110011010010…
…11111001000100000110100
311010021220100211221012000021
413021121221133020200310
513104441413123104030
6150503452353454524
76422624461302532
oct711315137104064
9133256324835007
1031432340441140
11a019420815451
12363796b271444
131470098272912
147a9494b99152
1539796227197a
hex1c96697c8834

31432340441140 has 48 divisors (see below), whose sum is σ = 70245508897872. Its totient is φ = 11773283895296.

The previous prime is 31432340441063. The next prime is 31432340441153. The reversal of 31432340441140 is 4114404323413.

It can be written as a sum of positive squares in 8 ways, for example, as 15607888265124 + 15824452176016 = 3950682^2 + 3977996^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 31432340441096 and 31432340441105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234572767 + ... + 234706726.

It is an arithmetic number, because the mean of its divisors is an integer number (1463448102039).

Almost surely, 231432340441140 is an apocalyptic number.

It is an amenable number.

31432340441140 is an abundant number, since it is smaller than the sum of its proper divisors (38813168456732).

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

31432340441140 is a wasteful number, since it uses less digits than its factorization.

31432340441140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469279716 (or 469279714 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 31432340441140 its reverse (4114404323413), we get a palindrome (35546744764553).

The spelling of 31432340441140 in words is "thirty-one trillion, four hundred thirty-two billion, three hundred forty million, four hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 197 340 394 788 985 1970 3349 3940 6698 13396 16745 33490 66980 469279493 938558986 1877117972 2346397465 4692794930 7977751381 9385589860 15955502762 31911005524 39888756905 79777513810 92448060121 159555027620 184896120242 369792240484 462240300605 924480601210 1571617022057 1848961202420 3143234044114 6286468088228 7858085110285 15716170220570 31432340441140