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10003242014432 = 2529311392501591
BaseRepresentation
bin1001000110010000111110…
…1011111101011011100000
31022102022010010122122112222
42101210033223331123200
52302343114423430212
633135232000410212
72051465443122362
oct221441753753340
938368103578488
1010003242014432
113207395373497
121156841616968
135773bca17764
14268233932d32
1512531988ec72
hex9190fafd6e0

10003242014432 has 96 divisors (see below), whose sum is σ = 21181479782400. Its totient is φ = 4639749004800.

The previous prime is 10003242014413. The next prime is 10003242014497. The reversal of 10003242014432 is 23441024230001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2747957 + ... + 5249547.

It is an arithmetic number, because the mean of its divisors is an integer number (220640414400).

Almost surely, 210003242014432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003242014432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10590739891200).

10003242014432 is an abundant number, since it is smaller than the sum of its proper divisors (11178237767968).

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

10003242014432 is a wasteful number, since it uses less digits than its factorization.

10003242014432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501800 (or 2501792 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10003242014432 its reverse (23441024230001), we get a palindrome (33444266244433).

The spelling of 10003242014432 in words is "ten trillion, three billion, two hundred forty-two million, fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 31 32 58 62 116 124 139 232 248 278 464 496 556 899 928 992 1112 1798 2224 3596 4031 4309 4448 7192 8062 8618 14384 16124 17236 28768 32248 34472 64496 68944 124961 128992 137888 249922 499844 999688 1999376 2501591 3998752 5003182 10006364 20012728 40025456 72546139 77549321 80050912 145092278 155098642 290184556 310197284 347721149 580369112 620394568 695442298 1160738224 1240789136 1390884596 2248930309 2321476448 2481578272 2781769192 4497860618 5563538384 8995721236 10083913321 10779355619 11127076768 17991442472 20167826642 21558711238 35982884944 40335653284 43117422476 71965769888 80671306568 86234844952 161342613136 172469689904 312601312951 322685226272 344939379808 625202625902 1250405251804 2500810503608 5001621007216 10003242014432