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1140416223336 = 23321310112063301
BaseRepresentation
bin10000100110000110000…
…110101001100001101000
311001000121120022122022100
4100212012012221201220
5122141033023121321
62231522221253400
7145251401646315
oct20460606514150
94030546278270
101140416223336
113aa714255865
1216502b104260
138370515c520
143d2a705dd0c
151e9e8ca3326
hex109861a9868

1140416223336 has 96 divisors (see below), whose sum is σ = 3359147074920. Its totient is φ = 347423040000.

The previous prime is 1140416223277. The next prime is 1140416223341. The reversal of 1140416223336 is 6333226140411.

1140416223336 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 416 + 2 + 233 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1140047352900 + 368870436 = 1067730^2 + 19206^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1140416223336.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5937115 + ... + 6126186.

Almost surely, 21140416223336 is an apocalyptic number.

It is an amenable number.

1140416223336 is an abundant number, since it is smaller than the sum of its proper divisors (2218730851584).

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

1140416223336 is a wasteful number, since it uses less digits than its factorization.

1140416223336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12063427 (or 12063420 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1140416223336 in words is "one trillion, one hundred forty billion, four hundred sixteen million, two hundred twenty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 101 104 117 156 202 234 303 312 404 468 606 808 909 936 1212 1313 1818 2424 2626 3636 3939 5252 7272 7878 10504 11817 15756 23634 31512 47268 94536 12063301 24126602 36189903 48253204 72379806 96506408 108569709 144759612 156822913 217139418 289519224 313645826 434278836 470468739 627291652 868557672 940937478 1218393401 1254583304 1411406217 1881874956 2436786802 2822812434 3655180203 3763749912 4873573604 5645624868 7310360406 9747147208 10965540609 11291249736 14620720812 15839114213 21931081218 29241441624 31678228426 43862162436 47517342639 63356456852 87724324872 95034685278 126712913704 142552027917 190069370556 285104055834 380138741112 570208111668 1140416223336