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10424001332320 = 2551731712089443
BaseRepresentation
bin1001011110110000011011…
…1001011000010001100000
31100220112011120112122010021
42113230012321120101200
52331241323320113240
634100415313043224
72124052320245152
oct227540671302140
940815146478107
1010424001332320
113359880aa9654
1212042a8b56514
135a7c9613b444
1428074ab96ad2
151312439e254a
hex97b06e58460

10424001332320 has 96 divisors (see below), whose sum is σ = 26157591478368. Its totient is φ = 3911950000128.

The previous prime is 10424001332291. The next prime is 10424001332341. The reversal of 10424001332320 is 2323310042401.

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, 5182482 + ... + 6906961.

It is an arithmetic number, because the mean of its divisors is an integer number (272474911233).

Almost surely, 210424001332320 is an apocalyptic number.

10424001332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10424001332320 is an abundant number, since it is smaller than the sum of its proper divisors (15733590146048).

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

10424001332320 is a wasteful number, since it uses less digits than its factorization.

10424001332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12089792 (or 12089784 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 10424001332320 its reverse (2323310042401), we get a palindrome (12747311374721).

The spelling of 10424001332320 in words is "ten trillion, four hundred twenty-four billion, one million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 317 340 544 634 680 1268 1360 1585 2536 2720 3170 5072 5389 6340 10144 10778 12680 21556 25360 26945 43112 50720 53890 86224 107780 172448 215560 431120 862240 12089443 24178886 48357772 60447215 96715544 120894430 193431088 205520531 241788860 386862176 411041062 483577720 822082124 967155440 1027602655 1644164248 1934310880 2055205310 3288328496 3832353431 4110410620 6576656992 7664706862 8220821240 15329413724 16441642480 19161767155 30658827448 32883284960 38323534310 61317654896 65150008327 76647068620 122635309792 130300016654 153294137240 260600033308 306588274480 325750041635 521200066616 613176548960 651500083270 1042400133232 1303000166540 2084800266464 2606000333080 5212000666160 10424001332320