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10224401431340 = 22537731011873967
BaseRepresentation
bin1001010011001000110111…
…0100001011101100101100
31100012102222010010002022002
42110302031310023230230
52320004033231300330
633425005234311432
72103455125134455
oct224621564135454
940172863102262
1010224401431340
1132921650707a8
121191683428578
13592206996965
14274c13ca412c
1512ae60750e45
hex94c8dd0bb2c

10224401431340 has 96 divisors (see below), whose sum is σ = 22574957900544. Its totient is φ = 3885855897600.

The previous prime is 10224401431333. The next prime is 10224401431357. The reversal of 10224401431340 is 4313410442201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4519037 + ... + 6393003.

It is an arithmetic number, because the mean of its divisors is an integer number (235155811464).

Almost surely, 210224401431340 is an apocalyptic number.

10224401431340 is a gapful number since it is divisible by the number (10) 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 10224401431340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11287478950272).

10224401431340 is an abundant number, since it is smaller than the sum of its proper divisors (12350556469204).

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

10224401431340 is a wasteful number, since it uses less digits than its factorization.

10224401431340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874187 (or 1874185 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 10224401431340 its reverse (4313410442201), we get a palindrome (14537811873541).

The spelling of 10224401431340 in words is "ten trillion, two hundred twenty-four billion, four hundred one million, four hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 73 74 101 146 148 185 202 292 365 370 404 505 730 740 1010 1460 2020 2701 3737 5402 7373 7474 10804 13505 14746 14948 18685 27010 29492 36865 37370 54020 73730 74740 147460 272801 545602 1091204 1364005 1873967 2728010 3747934 5456020 7495868 9369835 18739670 37479340 69336779 136799591 138673558 189270667 273599182 277347116 346683895 378541334 547198364 683997955 693367790 757082668 946353335 1367995910 1386735580 1892706670 2735991820 3785413340 5061584867 7003014679 10123169734 13816758691 14006029358 20246339468 25307924335 27633517382 28012058716 35015073395 50615848670 55267034764 69083793455 70030146790 101231697340 138167586910 140060293580 276335173820 511220071567 1022440143134 2044880286268 2556100357835 5112200715670 10224401431340