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140538525696 = 2113222733589
BaseRepresentation
bin1000001011100010111…
…1111011100000000000
3111102202101000211010100
42002320233323200000
54300310330310241
6144321300202400
713103450521032
oct2027057734000
9442671024110
10140538525696
11546693744a8
12232a2099400
131033931585a
146b32d71c52
1539c81499b6
hex20b8bfb800

140538525696 has 144 divisors (see below), whose sum is σ = 407701312200. Its totient is φ = 46638415872.

The previous prime is 140538525689. The next prime is 140538525697. The reversal of 140538525696 is 696525835041.

140538525696 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 385 + 256 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140538525697) 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, 4167270 + ... + 4200858.

Almost surely, 2140538525696 is an apocalyptic number.

140538525696 is a gapful number since it is divisible by the number (16) 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 140538525696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203850656100).

140538525696 is an abundant number, since it is smaller than the sum of its proper divisors (267162786504).

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

140538525696 is a wasteful number, since it uses less digits than its factorization.

140538525696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33844 (or 33821 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 140538525696 in words is "one hundred forty billion, five hundred thirty-eight million, five hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 227 256 288 384 454 512 576 681 768 908 1024 1152 1362 1536 1816 2043 2048 2304 2724 3072 3632 4086 4608 5448 6144 7264 8172 9216 10896 14528 16344 18432 21792 29056 32688 33589 43584 58112 65376 67178 87168 100767 116224 130752 134356 174336 201534 232448 261504 268712 302301 348672 403068 464896 523008 537424 604602 697344 806136 1046016 1074848 1209204 1394688 1612272 2092032 2149696 2418408 3224544 4184064 4299392 4836816 6449088 7624703 8598784 9673632 12898176 15249406 17197568 19347264 22874109 25796352 30498812 34395136 38694528 45748218 51592704 60997624 68622327 68790272 77389056 91496436 103185408 121995248 137244654 154778112 182992872 206370816 243990496 274489308 309556224 365985744 487980992 548978616 619112448 731971488 975961984 1097957232 1463942976 1951923968 2195914464 2927885952 3903847936 4391828928 5855771904 7807695872 8783657856 11711543808 15615391744 17567315712 23423087616 35134631424 46846175232 70269262848 140538525696