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40523452520 = 23523214912853
BaseRepresentation
bin100101101111011000…
…101101000001101000
310212121011000200100212
4211233120231001220
51130443000440040
630341034120252
72633131443305
oct455730550150
9125534020325
1040523452520
1116205483731
127a2b280088
133a8a659395
141d65d0a0ac
1510c2933d65
hex96f62d068

40523452520 has 96 divisors (see below), whose sum is σ = 95961537000. Its totient is φ = 15399369216.

The previous prime is 40523452511. The next prime is 40523452553. The reversal of 40523452520 is 2525432504.

It can be written as a sum of positive squares in 4 ways, for example, as 19031306116 + 21492146404 = 137954^2 + 146602^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3146414 + ... + 3159266.

Almost surely, 240523452520 is an apocalyptic number.

40523452520 is a gapful number since it is divisible by the number (40) 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 40523452520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47980768500).

40523452520 is an abundant number, since it is smaller than the sum of its proper divisors (55438084480).

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

40523452520 is a wasteful number, since it uses less digits than its factorization.

40523452520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13059 (or 13032 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

It can be divided in two parts, 405234 and 52520, that added together give a palindrome (457754).

The spelling of 40523452520 in words is "forty billion, five hundred twenty-three million, four hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 149 184 230 298 460 529 596 745 920 1058 1192 1490 2116 2645 2980 3427 4232 5290 5960 6854 10580 12853 13708 17135 21160 25706 27416 34270 51412 64265 68540 78821 102824 128530 137080 157642 257060 295619 315284 394105 514120 591238 630568 788210 1182476 1478095 1576420 1915097 2364952 2956190 3152840 3830194 5912380 6799237 7660388 9575485 11824760 13598474 15320776 19150970 27196948 33996185 38301940 44047231 54393896 67992370 76603880 88094462 135984740 176188924 220236155 271969480 352377848 440472310 880944620 1013086313 1761889240 2026172626 4052345252 5065431565 8104690504 10130863130 20261726260 40523452520