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2240314331440 = 24531903352553
BaseRepresentation
bin100000100110011101001…
…000111101000100110000
321221011122100122202122011
4200212131020331010300
5243201130432101230
64433104115052304
7320600035422043
oct40463510750460
97834570582564
102240314331440
11794126042979
123022308a1094
13133350ab0b23
147a608ba2c5a
153d420828e2a
hex2099d23d130

2240314331440 has 40 divisors (see below), whose sum is σ = 5376754401408. Its totient is φ = 867218449920.

The previous prime is 2240314331429. The next prime is 2240314331503. The reversal of 2240314331440 is 441334130422.

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 (31).

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 7 ways as a sum of consecutive naturals, for example, 451673797 + ... + 451678756.

Almost surely, 22240314331440 is an apocalyptic number.

2240314331440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240314331440 is an abundant number, since it is smaller than the sum of its proper divisors (3136440069968).

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

2240314331440 is a wasteful number, since it uses less digits than its factorization.

2240314331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903352597 (or 903352591 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 2240314331440 its reverse (441334130422), we get a palindrome (2681648461862).

The spelling of 2240314331440 in words is "two trillion, two hundred forty billion, three hundred fourteen million, three hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 903352553 1806705106 3613410212 4516762765 7226820424 9033525530 14453640848 18067051060 28003929143 36134102120 56007858286 72268204240 112015716572 140019645715 224031433144 280039291430 448062866288 560078582860 1120157165720 2240314331440