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1116005313940 = 2251129721324251
BaseRepresentation
bin10000001111010111000…
…110011010110110010100
310221200121022212221212221
4100033113012122312110
5121241034330021230
62212404042552124
7143425436436256
oct20172706326624
93850538787787
101116005313940
113a03279a6280
12160357b08644
13813149a213a
143c02d01dcd6
151e06ab9627a
hex103d719ad94

1116005313940 has 96 divisors (see below), whose sum is σ = 2645303391360. Its totient is φ = 391755840000.

The previous prime is 1116005313937. The next prime is 1116005313947. The reversal of 1116005313940 is 493135006111.

It is a junction number, because it is equal to n+sod(n) for n = 1116005313896 and 1116005313905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116005313947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46006815 + ... + 46031065.

It is an arithmetic number, because the mean of its divisors is an integer number (27555243660).

Almost surely, 21116005313940 is an apocalyptic number.

1116005313940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116005313940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322651695680).

1116005313940 is an abundant number, since it is smaller than the sum of its proper divisors (1529298077420).

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

1116005313940 is a wasteful number, since it uses less digits than its factorization.

1116005313940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31513 (or 31511 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 1116005313940 in words is "one trillion, one hundred sixteen billion, five million, three hundred thirteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 7213 14426 24251 28852 36065 48502 72130 79343 97004 121255 144260 158686 209177 242510 266761 317372 396715 418354 485020 533522 703279 793430 836708 1045885 1067044 1333805 1406558 1586860 2091770 2300947 2667610 2813116 3516395 4183540 4601894 5335220 7032790 7736069 9203788 11504735 14065580 15472138 23009470 30944276 38680345 46018940 77360690 154721380 174922463 349844926 699689852 874612315 1749224630 1924147093 3498449260 3848294186 5072751427 7696588372 9620735465 10145502854 19241470930 20291005708 25363757135 38482941860 50727514270 55800265697 101455028540 111600531394 223201062788 279001328485 558002656970 1116005313940