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140755530276 = 223419210972
BaseRepresentation
bin1000001100010110101…
…1101111001000100100
3111110022111100210110000
42003011223233020210
54301231403432101
6144355011301300
713112024160324
oct2030553571044
9443274323400
10140755530276
115476a911229
12233428aa830
1310372274a2a
146b53add284
1539dc212486
hex20c5aef224

140755530276 has 135 divisors (see below), whose sum is σ = 388702840449. Its totient is φ = 44408596032.

The previous prime is 140755530271. The next prime is 140755530281. The reversal of 140755530276 is 672035557041.

It is a happy number.

The square root of 140755530276 is 375174.

It is a perfect power (a square), and thus also a powerful number.

140755530276 is a `hidden beast` number, since 1 + 4 + 0 + 75 + 553 + 0 + 27 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (140755530271) and next prime (140755530281).

It can be written as a sum of positive squares in only one way, i.e., 40028004900 + 100727525376 = 200070^2 + 317376^2 .

It is not an unprimeable number, because it can be changed into a prime (140755530271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 128308960 + ... + 128310056.

Almost surely, 2140755530276 is an apocalyptic number.

140755530276 is the 375174-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140755530276

140755530276 is an abundant number, since it is smaller than the sum of its proper divisors (247947310173).

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

140755530276 is an equidigital number, since it uses as much as digits as its factorization.

140755530276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 140755530276 in words is "one hundred forty billion, seven hundred fifty-five million, five hundred thirty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 684 722 1026 1083 1097 1444 1539 2052 2166 2194 3078 3249 3291 4332 4388 6156 6498 6582 9747 9873 12996 13164 19494 19746 20843 29241 29619 38988 39492 41686 58482 59238 62529 83372 88857 116964 118476 125058 177714 187587 250116 355428 375174 396017 562761 750348 792034 1125522 1188051 1203409 1584068 1688283 2251044 2376102 2406818 3376566 3564153 3610227 4752204 4813636 6753132 7128306 7220454 10692459 10830681 14256612 14440908 21384918 21661362 22864771 32077377 32492043 42769836 43322724 45729542 64154754 64984086 68594313 91459084 97476129 128309508 129968172 137188626 194952258 205782939 274377252 389904516 411565878 434430649 617348817 823131756 868861298 1234697634 1303291947 1737722596 1852046451 2469395268 2606583894 3704092902 3909875841 5213167788 7408185804 7819751682 11729627523 15639503364 23459255046 35188882569 46918510092 70377765138 140755530276