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40111011104 = 253141986207
BaseRepresentation
bin100101010110110011…
…010111010100100000
310211112101221111002212
4211112303113110200
51124121404323404
630232102101252
72616662653223
oct452663272440
9124471844085
1040111011104
111601369035a
12793511a828
133a2307cbc8
141d272275ba
15109b61406e
hex956cd7520

40111011104 has 48 divisors (see below), whose sum is σ = 83504203776. Its totient is φ = 18935155200.

The previous prime is 40111011047. The next prime is 40111011137.

40111011104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401110111042 (a number of 22 digits) contains 22 as substring.

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, 452432 + ... + 533775.

It is an arithmetic number, because the mean of its divisors is an integer number (1739670912).

Almost surely, 240111011104 is an apocalyptic number.

It is an amenable number.

40111011104 is an abundant number, since it is smaller than the sum of its proper divisors (43393192672).

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

40111011104 is a wasteful number, since it uses less digits than its factorization.

40111011104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986289 (or 986281 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 401110 and 11104, that added together give a palindrome (412214).

The spelling of 40111011104 in words is "forty billion, one hundred eleven million, eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 31 32 41 62 82 124 164 248 328 496 656 992 1271 1312 2542 5084 10168 20336 40672 986207 1972414 3944828 7889656 15779312 30572417 31558624 40434487 61144834 80868974 122289668 161737948 244579336 323475896 489158672 646951792 978317344 1253469097 1293903584 2506938194 5013876388 10027752776 20055505552 40111011104