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235019404944 = 24327125692
BaseRepresentation
bin1101101011100000111…
…1111000011010010000
3211110121220110210000100
43122320033320122100
512322304431424234
6255544425252400
722656666660342
oct3327017703220
9743556423010
10235019404944
1190742366485
123966b634100
131921557846c
14b536ddd292
1561a7a89399
hex36b83f8690

235019404944 has 135 divisors (see below), whose sum is σ = 668296674409. Its totient is φ = 77100683520.

The previous prime is 235019404877. The next prime is 235019404957. The reversal of 235019404944 is 449404910532.

The square root of 235019404944 is 484788.

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

235019404944 is a `hidden beast` number, since 23 + 50 + 1 + 94 + 0 + 494 + 4 = 666.

235019404944 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., 38734963344 + 196284441600 = 196812^2 + 443040^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 235019404944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 413039092 + ... + 413039660.

Almost surely, 2235019404944 is an apocalyptic number.

235019404944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

235019404944 is the 484788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235019404944

235019404944 is an abundant number, since it is smaller than the sum of its proper divisors (433277269465).

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

235019404944 is an frugal number, since it uses more digits than its factorization.

235019404944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 235019404944 in words is "two hundred thirty-five billion, nineteen million, four hundred four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 569 639 852 1136 1138 1278 1704 1707 2276 2556 3408 3414 4552 5041 5112 5121 6828 9104 10082 10224 10242 13656 15123 20164 20484 27312 30246 40328 40399 40968 45369 60492 80656 80798 81936 90738 120984 121197 161596 181476 241968 242394 323192 323761 362952 363591 484788 646384 647522 725904 727182 969576 971283 1295044 1454364 1939152 1942566 2590088 2868329 2908728 2913849 3885132 5180176 5736658 5817456 5827698 7770264 8604987 11473316 11655396 15540528 17209974 22946632 22987031 23310792 25814961 34419948 45893264 45974062 46621584 51629922 68839896 68961093 91948124 103259844 137679792 137922186 183896248 206519688 206883279 275844372 367792496 413039376 413766558 551688744 827533116 1103377488 1632079201 1655066232 3264158402 3310132464 4896237603 6528316804 9792475206 13056633608 14688712809 19584950412 26113267216 29377425618 39169900824 58754851236 78339801648 117509702472 235019404944