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1140133440 = 26351187639
BaseRepresentation
bin100001111110101…
…0000111001000000
32221110100210001110
41003331100321000
54313333232230
6305045003320
740152655125
oct10375207100
92843323043
101140133440
11535637146
122799b3540
13152293194
14ab5c874c
156a1624b0
hex43f50e40

1140133440 has 56 divisors (see below), whose sum is σ = 3619926720. Its totient is φ = 304035328.

The previous prime is 1140133417. The next prime is 1140133457. The reversal of 1140133440 is 443310411.

It is a super-2 number, since 2×11401334402 = 2599808522012467200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 592860 + ... + 594779.

Almost surely, 21140133440 is an apocalyptic number.

1140133440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140133440 is an abundant number, since it is smaller than the sum of its proper divisors (2479793280).

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

1140133440 is a wasteful number, since it uses less digits than its factorization.

1140133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187659 (or 1187649 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1140133440 is about 33765.8620503016. The cubic root of 1140133440 is about 1044.6846846723.

Adding to 1140133440 its reverse (443310411), we get a palindrome (1583443851).

The spelling of 1140133440 in words is "one billion, one hundred forty million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1187639 2375278 3562917 4750556 5938195 7125834 9501112 11876390 14251668 17814585 19002224 23752780 28503336 35629170 38004448 47505560 57006672 71258340 76008896 95011120 114013344 142516680 190022240 228026688 285033360 380044480 570066720 1140133440