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3148141961608 = 237475352343151
BaseRepresentation
bin101101110011111011111…
…000100010000110001000
3102010221220102111122210221
4231303323320202012020
5403034343320232413
610410123023515424
7443305615103560
oct55637370420610
912127812448727
103148141961608
11100413507a106
1242a16a458b74
1319ab3a17b157
14ac5299c3da0
1556d5515368d
hex2dcfbe22188

3148141961608 has 128 divisors (see below), whose sum is σ = 7033126993920. Its totient is φ = 1293075014400.

The previous prime is 3148141961579. The next prime is 3148141961633. The reversal of 3148141961608 is 8061691418413.

It is a happy number.

3148141961608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31481419616082 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72934833 + ... + 72977983.

It is an arithmetic number, because the mean of its divisors is an integer number (54946304640).

Almost surely, 23148141961608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3148141961608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516563496960).

3148141961608 is an abundant number, since it is smaller than the sum of its proper divisors (3884985032312).

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

3148141961608 is a wasteful number, since it uses less digits than its factorization.

3148141961608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43787 (or 43783 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The spelling of 3148141961608 in words is "three trillion, one hundred forty-eight billion, one hundred forty-one million, nine hundred sixty-one thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 28 47 53 56 94 106 188 212 329 371 376 424 523 658 742 1046 1316 1484 2092 2491 2632 2968 3661 4184 4982 7322 9964 14644 17437 19928 24581 27719 29288 34874 43151 49162 55438 69748 86302 98324 110876 139496 172067 172604 194033 196648 221752 302057 344134 345208 388066 604114 688268 776132 1208228 1302793 1376536 1552264 2028097 2287003 2416456 2605586 4056194 4574006 5211172 8112388 9119551 9148012 10422344 14196679 16009021 16224776 18239102 18296024 22567973 28393358 32018042 36478204 45135946 56786716 64036084 72956408 90271892 107489141 113573432 128072168 157975811 180543784 214978282 315951622 429956564 631903244 752423987 859913128 1060694731 1196102569 1263806488 1504847974 2121389462 2392205138 3009695948 4242778924 4784410276 6019391896 7424863117 8372717983 8485557848 9568820552 14849726234 16745435966 29699452468 33490871932 56216820743 59398904936 66981743864 112433641486 224867282972 393517745201 449734565944 787035490402 1574070980804 3148141961608