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6040073014336 = 2617410632
BaseRepresentation
bin101011111100101000001…
…1010000000110001000000
3210101102111001222121020101
41113321100122000301000
51242430032142424321
620502434330452144
71162244432341564
oct127712032006100
923342431877211
106040073014336
111a19642830219
12816734294054
1334a765597bba
1416c4abd656a4
15a71b2093791
hex57e50680c40

6040073014336 has 105 divisors (see below), whose sum is σ = 12746862930531. Its totient is φ = 2839713371136.

The previous prime is 6040073014331. The next prime is 6040073014343. The reversal of 6040073014336 is 6334103700406.

The square root of 6040073014336 is 2457656.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1874555292736 + 4165517721600 = 1369144^2 + 2040960^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6040073014295 and 6040073014304.

It is not an unprimeable number, because it can be changed into a prime (6040073014331) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5682100141 + ... + 5682101203.

Almost surely, 26040073014336 is an apocalyptic number.

6040073014336 is the 2457656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6040073014336

6040073014336 is an abundant number, since it is smaller than the sum of its proper divisors (6706789916195).

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

6040073014336 is an frugal number, since it uses more digits than its factorization.

6040073014336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 37.

The spelling of 6040073014336 in words is "six trillion, forty billion, seventy-three million, fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1063 1088 1156 2126 2312 4252 4624 4913 8504 9248 9826 17008 18071 18496 19652 34016 36142 39304 68032 72284 78608 83521 144568 157216 167042 289136 307207 314432 334084 578272 614414 668168 1129969 1156544 1228828 1336336 2259938 2457656 2672672 4519876 4915312 5222519 5345344 9039752 9830624 10445038 18079504 19209473 19661248 20890076 36159008 38418946 41780152 72318016 76837892 83560304 88782823 153675784 167120608 177565646 307351568 326561041 334241216 355131292 614703136 653122082 710262584 1229406272 1306244164 1420525168 2612488328 2841050336 5224976656 5551537697 5682100672 10449953312 11103075394 20899906624 22206150788 44412301576 88824603152 94376140849 177649206304 188752281698 355298412608 377504563396 755009126792 1510018253584 3020036507168 6040073014336