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11451511116240 = 2435133670356127
BaseRepresentation
bin1010011010100100001101…
…0000001001000111010000
31111112202100111110212201020
42212221003100021013100
53000110143321204430
640204430201435440
72261226056303646
oct246510320110720
944482314425636
1011451511116240
113715616537358
12134b467a9bb80
13650b468b7020
142b8382a23196
1514cd3043ab10
hexa6a434091d0

11451511116240 has 80 divisors (see below), whose sum is σ = 38230429429248. Its totient is φ = 2818833504768.

The previous prime is 11451511116193. The next prime is 11451511116247. The reversal of 11451511116240 is 4261111515411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×114515111162402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11451511116247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1835174944 + ... + 1835181183.

Almost surely, 211451511116240 is an apocalyptic number.

11451511116240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11451511116240 is an abundant number, since it is smaller than the sum of its proper divisors (26778918313008).

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

11451511116240 is a wasteful number, since it uses less digits than its factorization.

11451511116240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670356156 (or 3670356150 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 33.

The spelling of 11451511116240 in words is "eleven trillion, four hundred fifty-one billion, five hundred eleven million, one hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 3670356127 7340712254 11011068381 14681424508 18351780635 22022136762 29362849016 36703561270 44044273524 47714629651 55055341905 58725698032 73407122540 88088547048 95429259302 110110683810 143143888953 146814245080 176177094096 190858518604 220221367620 238573148255 286287777906 293628490160 381717037208 440442735240 477146296510 572575555812 715719444765 763434074416 880885470480 954292593020 1145151111624 1431438889530 1908585186040 2290302223248 2862877779060 3817170372080 5725755558120 11451511116240