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3152940025104 = 243273220272
BaseRepresentation
bin101101111000011001110…
…111101100010100010000
3102011102021210220112120100
4231320121313230110100
5403124210121300404
610412235103012400
7443535536010102
oct55703167542420
912142253815510
103152940025104
1110061774a1241
1242b08929a100
1319b42322518c
14ac862d1b572
15570364bbd39
hex2de19dec510

3152940025104 has 135 divisors (see below), whose sum is σ = 8950799288613. Its totient is φ = 1036071634176.

The previous prime is 3152940025073. The next prime is 3152940025111. The reversal of 3152940025104 is 4015200492513.

The square root of 3152940025104 is 1775652.

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

3152940025104 is a `hidden beast` number, since 3 + 1 + 52 + 94 + 0 + 0 + 2 + 510 + 4 = 666.

3152940025104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1789762352400 + 1363177672704 = 1337820^2 + 1167552^2 .

It is a super-3 number, since 3×31529400251043 (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1555470139 + ... + 1555472165.

Almost surely, 23152940025104 is an apocalyptic number.

3152940025104 is the 1775652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3152940025104

3152940025104 is an abundant number, since it is smaller than the sum of its proper divisors (5797859263509).

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

3152940025104 is an frugal number, since it uses more digits than its factorization.

3152940025104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 3152940025104 by its sum of digits (36), we get a square (113505840903744 = 106539122).

3152940025104 divided by its sum of digits (36) gives a square (87581667364 = 2959422).

The spelling of 3152940025104 in words is "three trillion, one hundred fifty-two billion, nine hundred forty million, twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2027 2628 3504 4054 5256 5329 6081 8108 10512 10658 12162 15987 16216 18243 21316 24324 31974 32432 36486 42632 47961 48648 63948 72972 85264 95922 97296 127896 145944 147971 191844 255792 291888 295942 383688 443913 591884 767376 887826 1183768 1331739 1775652 2367536 2663478 3551304 4108729 5326956 7102608 8217458 10653912 10801883 12326187 16434916 21307824 21603766 24652374 32405649 32869832 36978561 43207532 49304748 64811298 65739664 73957122 86415064 97216947 98609496 129622596 147914244 172830128 194433894 197218992 259245192 295828488 299937217 388867788 518490384 591656976 599874434 777735576 899811651 1199748868 1555471152 1799623302 2399497736 2699434953 3599246604 4798995472 5398869906 7198493208 10797739812 14396986416 21595479624 21895416841 43190959248 43790833682 65686250523 87581667364 131372501046 175163334728 197058751569 262745002092 350326669456 394117503138 525490004184 788235006276 1050980008368 1576470012552 3152940025104