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1134014114440 = 235374118688433
BaseRepresentation
bin10000100000001000100…
…000100010101010001000
311000102002101121210221001
4100200020200202222020
5122034430103130230
62224543042024344
7144633632633644
oct20401040425210
94012071553831
101134014114440
113a7a29449679
121639430480b4
1382c249942cc
143cc5aa9bc24
151e771bdc0ca
hex10808822a88

1134014114440 has 64 divisors (see below), whose sum is σ = 2684406659760. Its totient is φ = 430581473280.

The previous prime is 1134014114417. The next prime is 1134014114461. The reversal of 1134014114440 is 444114104311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 361193788036 + 772820326404 = 600994^2 + 879102^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1134014114399 and 1134014114408.

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, 9283537 + ... + 9404896.

Almost surely, 21134014114440 is an apocalyptic number.

1134014114440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1134014114440 is an abundant number, since it is smaller than the sum of its proper divisors (1550392545320).

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

1134014114440 is a wasteful number, since it uses less digits than its factorization.

1134014114440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18688522 (or 18688518 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 1134014114440 its reverse (444114104311), we get a palindrome (1578128218751).

The spelling of 1134014114440 in words is "one trillion, one hundred thirty-four billion, fourteen million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 41 74 82 148 164 185 205 296 328 370 410 740 820 1480 1517 1640 3034 6068 7585 12136 15170 30340 60680 18688433 37376866 74753732 93442165 149507464 186884330 373768660 691472021 747537320 766225753 1382944042 1532451506 2765888084 3064903012 3457360105 3831128765 5531776168 6129806024 6914720210 7662257530 13829440420 15324515060 27658880840 28350352861 30649030120 56700705722 113401411444 141751764305 226802822888 283503528610 567007057220 1134014114440