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24320040002120 = 2351757496221041
BaseRepresentation
bin1011000011110011100110…
…10110000110001001001000
310012002222021101212211011202
411201321303112012021020
511141424420220031440
6123420245552043332
75060031156121502
oct541716326061110
9105088241784152
1024320040002120
117827086617125
122889478233548
1310754a6980495
1460114c038d72
152c2947a1d615
hex161e73586248

24320040002120 has 64 divisors (see below), whose sum is σ = 57949006230000. Its totient is φ = 9154185707520.

The previous prime is 24320040002101. The next prime is 24320040002161. The reversal of 24320040002120 is 2120004002342.

It can be written as a sum of positive squares in 8 ways, for example, as 8949108148036 + 15370931854084 = 2991506^2 + 3920578^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 24320040002092 and 24320040002101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798800 + ... + 7019840.

Almost surely, 224320040002120 is an apocalyptic number.

24320040002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24320040002120 is an abundant number, since it is smaller than the sum of its proper divisors (33628966227880).

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

24320040002120 is a wasteful number, since it uses less digits than its factorization.

24320040002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6226818 (or 6226814 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 24320040002120 its reverse (2120004002342), we get a palindrome (26440044004462).

The spelling of 24320040002120 in words is "twenty-four trillion, three hundred twenty billion, forty million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 5749 11498 22996 28745 45992 57490 97733 114980 195466 229960 390932 488665 781864 977330 1954660 3909320 6221041 12442082 24884164 31105205 49768328 62210410 105757697 124420820 211515394 248841640 423030788 528788485 846061576 1057576970 2115153940 4230307880 35764764709 71529529418 143059058836 178823823545 286118117672 357647647090 608001000053 715295294180 1216002000106 1430590588360 2432004000212 3040005000265 4864008000424 6080010000530 12160020001060 24320040002120