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131440165632 = 2832353161611
BaseRepresentation
bin111101001101001110…
…0011100001100000000
3110120021021212020110200
41322122130130030000
54123142140300012
6140214402525200
712332131654656
oct1723234341400
9416237766420
10131440165632
115081a601966
1221583066800
13c519377349
14650c874dd6
1536444de3dc
hex1e9a71c300

131440165632 has 108 divisors (see below), whose sum is σ = 380050334664. Its totient is φ = 43689000960.

The previous prime is 131440165631. The next prime is 131440165651. The reversal of 131440165632 is 236561044131.

131440165632 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 0 + 16 + 5 + 632 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (131440165631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 732507 + ... + 894117.

Almost surely, 2131440165632 is an apocalyptic number.

131440165632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131440165632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190025167332).

131440165632 is an abundant number, since it is smaller than the sum of its proper divisors (248610169032).

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

131440165632 is a wasteful number, since it uses less digits than its factorization.

131440165632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161986 (or 161969 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 131440165632 in words is "one hundred thirty-one billion, four hundred forty million, one hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 353 384 576 706 768 1059 1152 1412 2118 2304 2824 3177 4236 5648 6354 8472 11296 12708 16944 22592 25416 33888 45184 50832 67776 90368 101664 135552 161611 203328 271104 323222 406656 484833 646444 813312 969666 1292888 1454499 1939332 2585776 2908998 3878664 5171552 5817996 7757328 10343104 11635992 15514656 20686208 23271984 31029312 41372416 46543968 57048683 62058624 93087936 114097366 124117248 171146049 186175872 228194732 342292098 372351744 456389464 513438147 684584196 912778928 1026876294 1369168392 1825557856 2053752588 2738336784 3651115712 4107505176 5476673568 7302231424 8215010352 10953347136 14604462848 16430020704 21906694272 32860041408 43813388544 65720082816 131440165632