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11144041404432 = 2432911716836701
BaseRepresentation
bin1010001000101010110010…
…1000010001100000010000
31110110100201101222011201020
42202022230220101200100
52430040444044420212
635411300230435440
72230062510003666
oct242125450214020
943410641864636
1011144041404432
113607185937012
1212bb958b02b80
1362ab56373601
142a7535814c36
15144d370cdd8c
hexa22aca11810

11144041404432 has 80 divisors (see below), whose sum is σ = 29806926847680. Its totient is φ = 3583524672000.

The previous prime is 11144041404371. The next prime is 11144041404497. The reversal of 11144041404432 is 23440414044111.

It is a junction number, because it is equal to n+sod(n) for n = 11144041404393 and 11144041404402.

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, 1788319 + ... + 5048382.

It is an arithmetic number, because the mean of its divisors is an integer number (372586585596).

Almost surely, 211144041404432 is an apocalyptic number.

11144041404432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11144041404432 is an abundant number, since it is smaller than the sum of its proper divisors (18662885443248).

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

11144041404432 is a wasteful number, since it uses less digits than its factorization.

11144041404432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6837912 (or 6837906 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 11144041404432 its reverse (23440414044111), we get a palindrome (34584455448543).

The spelling of 11144041404432 in words is "eleven trillion, one hundred forty-four billion, forty-one million, four hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1171 1392 2342 3513 4684 7026 9368 14052 18736 28104 33959 56208 67918 101877 135836 203754 271672 407508 543344 815016 1630032 6836701 13673402 20510103 27346804 41020206 54693608 82040412 109387216 164080824 198264329 328161648 396528658 594792987 793057316 1189585974 1586114632 2379171948 3172229264 4758343896 8005776871 9516687792 16011553742 24017330613 32023107484 48034661226 64046214968 96069322452 128092429936 192138644904 232167529259 384277289808 464335058518 696502587777 928670117036 1393005175554 1857340234072 2786010351108 3714680468144 5572020702216 11144041404432