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10040298336 = 2532297915217
BaseRepresentation
bin10010101100111001…
…01100101101100000
3221220201121000001100
421112130230231200
5131030304021321
64340142234400
7503544061545
oct112634545540
927821530040
1010040298336
114292539822
121b42585a00
13c40159a43
146b3652bcc
153db6bd326
hex25672cb60

10040298336 has 144 divisors (see below), whose sum is σ = 29912500800. Its totient is φ = 3190247424.

The previous prime is 10040298299. The next prime is 10040298341. The reversal of 10040298336 is 63389204001.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10040298336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652200 + ... + 667416.

It is an arithmetic number, because the mean of its divisors is an integer number (207725700).

Almost surely, 210040298336 is an apocalyptic number.

10040298336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040298336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14956250400).

10040298336 is an abundant number, since it is smaller than the sum of its proper divisors (19872202464).

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

10040298336 is a wasteful number, since it uses less digits than its factorization.

10040298336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15341 (or 15330 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10040298336 in words is "ten billion, forty million, two hundred ninety-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 79 87 96 116 144 158 174 232 237 261 288 316 348 464 474 522 632 696 711 928 948 1044 1264 1392 1422 1896 2088 2291 2528 2784 2844 3792 4176 4582 5688 6873 7584 8352 9164 11376 13746 15217 18328 20619 22752 27492 30434 36656 41238 45651 54984 60868 73312 82476 91302 109968 121736 136953 164952 182604 219936 243472 273906 329904 365208 441293 486944 547812 659808 730416 882586 1095624 1202143 1323879 1460832 1765172 2191248 2404286 2647758 3530344 3606429 3971637 4382496 4808572 5295516 7060688 7212858 7943274 9617144 10591032 10819287 14121376 14425716 15886548 19234288 21182064 21638574 28851432 31773096 34862147 38468576 42364128 43277148 57702864 63546192 69724294 86554296 104586441 115405728 127092384 139448588 173108592 209172882 278897176 313759323 346217184 418345764 557794352 627518646 836691528 1115588704 1255037292 1673383056 2510074584 3346766112 5020149168 10040298336