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40320114320 = 2451926526391
BaseRepresentation
bin100101100011010001…
…000001111010010000
310212001222102000210102
4211203101001322100
51130033422124240
630304531551532
72625112213463
oct454321017220
9125058360712
1040320114320
1116110720732
12799315b5a8
133a574a3815
141d46cd92da
1510aeb6a815
hex963441e90

40320114320 has 40 divisors (see below), whose sum is σ = 98678178240. Its totient is φ = 15279200640.

The previous prime is 40320114283. The next prime is 40320114347. The reversal of 40320114320 is 2341102304.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 40320114292 and 40320114301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13261676 + ... + 13264715.

It is an arithmetic number, because the mean of its divisors is an integer number (2466954456).

Almost surely, 240320114320 is an apocalyptic number.

40320114320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40320114320 is an abundant number, since it is smaller than the sum of its proper divisors (58358063920).

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

40320114320 is a wasteful number, since it uses less digits than its factorization.

40320114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26526423 (or 26526417 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 40320114320 its reverse (2341102304), we get a palindrome (42661216624).

The spelling of 40320114320 in words is "forty billion, three hundred twenty million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 26526391 53052782 106105564 132631955 212211128 265263910 424422256 504001429 530527820 1008002858 1061055640 2016005716 2122111280 2520007145 4032011432 5040014290 8064022864 10080028580 20160057160 40320114320