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1114400114040 = 233513077105331
BaseRepresentation
bin10000001101110111011…
…011000100010101111000
310221112110110102100120210
4100031313123010111320
5121224242412122130
62211540501551120
7143340605451213
oct20156733042570
93845413370523
101114400114040
1139a6838a2894
1215bb8a4154a0
138111a268605
143bd19b7477a
151dec4cbb5b0
hex103776c4578

1114400114040 has 64 divisors (see below), whose sum is σ = 3345758732160. Its totient is φ = 296945951360.

The previous prime is 1114400114029. The next prime is 1114400114119. The reversal of 1114400114040 is 404110044111.

It is a super-2 number, since 2×11144001140402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1114400113998 and 1114400114016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3395826 + ... + 3709505.

It is an arithmetic number, because the mean of its divisors is an integer number (52277480190).

Almost surely, 21114400114040 is an apocalyptic number.

1114400114040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1114400114040 is an abundant number, since it is smaller than the sum of its proper divisors (2231358618120).

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

1114400114040 is a wasteful number, since it uses less digits than its factorization.

1114400114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7106652 (or 7106648 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 1114400114040 its reverse (404110044111), we get a palindrome (1518510158151).

The spelling of 1114400114040 in words is "one trillion, one hundred fourteen billion, four hundred million, one hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1307 2614 3921 5228 6535 7842 10456 13070 15684 19605 26140 31368 39210 52280 78420 156840 7105331 14210662 21315993 28421324 35526655 42631986 56842648 71053310 85263972 106579965 142106620 170527944 213159930 284213240 426319860 852639720 9286667617 18573335234 27860002851 37146670468 46433338085 55720005702 74293340936 92866676170 111440011404 139300014255 185733352340 222880022808 278600028510 371466704680 557200057020 1114400114040