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40320613242 = 23372131172179
BaseRepresentation
bin100101100011010010…
…111011101101111010
310212002000100101012000
4211203102323231322
51130034034110432
630304550401430
72625116362200
oct454322735572
9125060311160
1040320613242
1116110a31568
127993360276
133a57619940
141d46dc9070
1510aec1857c
hex9634bbb7a

40320613242 has 96 divisors (see below), whose sum is σ = 112247956800. Its totient is φ = 10633998816.

The previous prime is 40320613219. The next prime is 40320613259. The reversal of 40320613242 is 24231602304.

40320613242 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 0 + 613 + 2 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551692 + ... + 620487.

It is an arithmetic number, because the mean of its divisors is an integer number (1169249550).

Almost surely, 240320613242 is an apocalyptic number.

40320613242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

40320613242 is an abundant number, since it is smaller than the sum of its proper divisors (71927343558).

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

40320613242 is a wasteful number, since it uses less digits than its factorization.

40320613242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172217 (or 1172204 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 40320613242 in words is "forty billion, three hundred twenty million, six hundred thirteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 91 98 117 126 147 182 189 234 273 294 351 378 441 546 637 702 819 882 1274 1323 1638 1911 2457 2646 3822 4914 5733 11466 17199 34398 1172179 2344358 3516537 7033074 8205253 10549611 15238327 16410506 21099222 24615759 30476654 31648833 45714981 49231518 57436771 63297666 73847277 91429962 106668289 114873542 137144943 147694554 172310313 213336578 221541831 274289886 320004867 344620626 411434829 443083662 516930939 640009734 746678023 822869658 960014601 1033861878 1493356046 1550792817 1920029202 2240034069 2880043803 3101585634 4480068138 5760087606 6720102207 13440204414 20160306621 40320613242