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355156416340 = 225117518292593
BaseRepresentation
bin1010010101100001111…
…10001101011101010100
31020221201110110021210221
411022300332031131110
521304330020310330
6431053454324124
734442051505025
oct5126076153524
91227643407727
10355156416340
111276915a1260
12589b91b9644
132764cc6475b
141329260cc4c
159389aa5b7a
hex52b0f8d754

355156416340 has 96 divisors (see below), whose sum is σ = 816011804160. Its totient is φ = 128770560000.

The previous prime is 355156416311. The next prime is 355156416353. The reversal of 355156416340 is 43614651553.

It is a super-2 number, since 2×3551564163402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 136966084 + ... + 136968676.

It is an arithmetic number, because the mean of its divisors is an integer number (8500122960).

Almost surely, 2355156416340 is an apocalyptic number.

It is an amenable number.

355156416340 is an abundant number, since it is smaller than the sum of its proper divisors (460855387820).

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

355156416340 is a wasteful number, since it uses less digits than its factorization.

355156416340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 355156416340 in words is "three hundred fifty-five billion, one hundred fifty-six million, four hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 751 829 1502 1658 2593 3004 3316 3755 4145 5186 7510 8261 8290 9119 10372 12965 15020 16522 16580 18238 25930 28523 33044 36476 41305 45595 51860 57046 82610 91190 114092 142615 165220 182380 285230 570460 622579 1245158 1947343 2149597 2490316 3112895 3894686 4299194 6225790 6848369 7789372 8598388 9736715 10747985 12451580 13696738 19473430 21420773 21495970 23645567 27393476 34241845 38946860 42841546 42991940 47291134 68483690 85683092 94582268 107103865 118227835 136967380 214207730 236455670 428415460 472911340 1614347347 3228694694 6457389388 8071736735 16143473470 17757820817 32286946940 35515641634 71031283268 88789104085 177578208170 355156416340