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10440955246848 = 28376131838393
BaseRepresentation
bin1001011111101111100101…
…1011011011100100000000
31100222010221010022201122120
42113323321123123210000
52332031034020344343
634112301510204240
72125222414164330
oct227737133334400
940863833281576
1010440955246848
113365a91050565
12120763a953680
135a9768717129
142814b86bb0c0
151318d7114683
hex97ef96db900

10440955246848 has 144 divisors (see below), whose sum is σ = 32278527958656. Its totient is φ = 2934226206720.

The previous prime is 10440955246847. The next prime is 10440955246889. The reversal of 10440955246848 is 84864255904401.

It is a super-2 number, since 2×104409552468482 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10440955246791 and 10440955246800.

It is not an unprimeable number, because it can be changed into a prime (10440955246847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15591261 + ... + 16247132.

Almost surely, 210440955246848 is an apocalyptic number.

It is an amenable number.

10440955246848 is an abundant number, since it is smaller than the sum of its proper divisors (21837572711808).

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

10440955246848 is an equidigital number, since it uses as much as digits as its factorization.

10440955246848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31838480 (or 31838466 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 60.

The spelling of 10440955246848 in words is "ten trillion, four hundred forty billion, nine hundred fifty-five million, two hundred forty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 128 168 183 192 224 244 256 336 366 384 427 448 488 672 732 768 854 896 976 1281 1344 1464 1708 1792 1952 2562 2688 2928 3416 3904 5124 5376 5856 6832 7808 10248 11712 13664 15616 20496 23424 27328 40992 46848 54656 81984 109312 163968 327936 31838393 63676786 95515179 127353572 191030358 222868751 254707144 382060716 445737502 509414288 668606253 764121432 891475004 1018828576 1337212506 1528242864 1782950008 1942141973 2037657152 2674425012 3056485728 3565900016 3884283946 4075314304 5348850024 5826425919 6112971456 7131800032 7768567892 8150628608 10697700048 11652851838 12225942912 13594993811 14263600064 15537135784 21395400096 23305703676 24451885824 27189987622 28527200128 31074271568 40784981433 42790800192 46611407352 54379975244 57054400256 62148543136 81569962866 85581600384 93222814704 108759950488 124297086272 163139925732 171163200768 186445629408 217519900976 248594172544 326279851464 372891258816 435039801952 497188345088 652559702928 745782517632 870079603904 1305119405856 1491565035264 1740159207808 2610238811712 3480318415616 5220477623424 10440955246848