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1122304440040 = 23575527725209
BaseRepresentation
bin10000010101001110100…
…011101011011011101000
310222021212022210201102121
4100111032203223123220
5121341434414040130
62215325103041024
7144040515224350
oct20251643533350
93867768721377
101122304440040
113a2a6a663a13
121616155a0174
1381aa9a20ca4
143c469855b60
151e2d8bb8d7a
hex1054e8eb6e8

1122304440040 has 64 divisors (see below), whose sum is σ = 2886451833600. Its totient is φ = 384719943168.

The previous prime is 1122304439959. The next prime is 1122304440067. The reversal of 1122304440040 is 400444032211.

It is a super-2 number, since 2×11223044400402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1122304439987 and 1122304440014.

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, 1184956 + ... + 1910164.

It is an arithmetic number, because the mean of its divisors is an integer number (45100809900).

Almost surely, 21122304440040 is an apocalyptic number.

1122304440040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122304440040 is an abundant number, since it is smaller than the sum of its proper divisors (1764147393560).

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

1122304440040 is a wasteful number, since it uses less digits than its factorization.

1122304440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730754 (or 730750 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1122304440040 its reverse (400444032211), we get a palindrome (1522748472251).

The spelling of 1122304440040 in words is "one trillion, one hundred twenty-two billion, three hundred four million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 5527 11054 22108 27635 38689 44216 55270 77378 110540 154756 193445 221080 309512 386890 725209 773780 1450418 1547560 2900836 3626045 5076463 5801672 7252090 10152926 14504180 20305852 25382315 29008360 40611704 50764630 101529260 203058520 4008230143 8016460286 16032920572 20041150715 28057611001 32065841144 40082301430 56115222002 80164602860 112230444004 140288055005 160329205720 224460888008 280576110010 561152220020 1122304440040