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10041201341024 = 257397667316921
BaseRepresentation
bin1001001000011110011000…
…1111010011001001100000
31022112221002120211020101212
42102013212033103021200
52304003340020403044
633204510400445252
72054311221100130
oct222074617231140
938487076736355
1010041201341024
1132214a4424387
121162076019828
1357ab5c081759
14269dd5098ac0
151262dc12ca9e
hex921e63d3260

10041201341024 has 96 divisors (see below), whose sum is σ = 22654344557376. Its totient is φ = 4291635363840.

The previous prime is 10041201340991. The next prime is 10041201341099. The reversal of 10041201341024 is 42014310214001.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 593408084 + ... + 593425004.

It is an arithmetic number, because the mean of its divisors is an integer number (235982755806).

Almost surely, 210041201341024 is an apocalyptic number.

10041201341024 is a gapful number since it is divisible by the number (14) 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 10041201341024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11327172278688).

10041201341024 is an abundant number, since it is smaller than the sum of its proper divisors (12613143216352).

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

10041201341024 is a wasteful number, since it uses less digits than its factorization.

10041201341024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24008 (or 24000 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10041201341024 its reverse (42014310214001), we get a palindrome (52055511555025).

The spelling of 10041201341024 in words is "ten trillion, forty-one billion, two hundred one million, three hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 397 794 1588 2779 3176 5558 6352 6673 11116 12704 13346 16921 22232 26692 33842 44464 46711 53384 67684 88928 93422 106768 118447 135368 186844 213536 236894 270736 373688 473788 541472 747376 947576 1494752 1895152 2649181 3790304 5298362 6717637 10596724 13435274 18544267 21193448 26870548 37088534 42386896 47023459 53741096 74177068 84773792 94046918 107482192 112913833 148354136 188093836 214964384 225827666 296708272 376187672 451655332 593416544 752375344 790396831 903310664 1504750688 1580793662 1806621328 3161587324 3613242656 6323174648 12646349296 25292698592 44826791701 89653583402 179307166804 313787541907 358614333608 627575083814 717228667216 1255150167628 1434457334432 2510300335256 5020600670512 10041201341024