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1134214310440 = 23584613351301
BaseRepresentation
bin10000100000010100011…
…100001110101000101000
311000102121100022211012201
4100200110130032220220
5122040332330413230
62225014552545544
7144641613365521
oct20402434165050
94012540284181
101134214310440
113a8021455912
1216399a0b22b4
1382c572b9893
143cc794d1848
151e7845845ca
hex1081470ea28

1134214310440 has 32 divisors (see below), whose sum is σ = 2552284577160. Its totient is φ = 453631968000.

The previous prime is 1134214310393. The next prime is 1134214310461. The reversal of 1134214310440 is 440134124311.

It can be written as a sum of positive squares in 4 ways, for example, as 1125665828676 + 8548481764 = 1060974^2 + 92458^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1134214310399 and 1134214310408.

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, 1337211 + ... + 2014090.

Almost surely, 21134214310440 is an apocalyptic number.

1134214310440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1134214310440 is an abundant number, since it is smaller than the sum of its proper divisors (1418070266720).

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

1134214310440 is a wasteful number, since it uses less digits than its factorization.

1134214310440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359773 (or 3359769 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1134214310440 its reverse (440134124311), we get a palindrome (1574348434751).

The spelling of 1134214310440 in words is "one trillion, one hundred thirty-four billion, two hundred fourteen million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 8461 16922 33844 42305 67688 84610 169220 338440 3351301 6702602 13405204 16756505 26810408 33513010 67026020 134052040 28355357761 56710715522 113421431044 141776788805 226842862088 283553577610 567107155220 1134214310440