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40012105455 = 3257614614517
BaseRepresentation
bin100101010000111010…
…000100011011101111
310211021111211120001200
4211100322010123233
51123421044333310
630214210140543
72614352166450
oct452072043357
9124244746050
1040012105455
1115a72877053
127907b81753
133a0873055a
141d1803d127
151092ac89c0
hex950e846ef

40012105455 has 96 divisors (see below), whose sum is σ = 80754081408. Its totient is φ = 17948390400.

The previous prime is 40012105439. The next prime is 40012105459. The reversal of 40012105455 is 55450121004.

40012105455 is a `hidden beast` number, since 400 + 1 + 210 + 5 + 45 + 5 = 666.

40012105455 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40012105455 - 24 = 40012105439 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40012105459) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8855857 + ... + 8860373.

It is an arithmetic number, because the mean of its divisors is an integer number (841188348).

Almost surely, 240012105455 is an apocalyptic number.

40012105455 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40012105455 is an abundant number, since it is smaller than the sum of its proper divisors (40741975953).

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

40012105455 is a wasteful number, since it uses less digits than its factorization.

40012105455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057 (or 5054 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 40012105455 its reverse (55450121004), we get a palindrome (95462226459).

The spelling of 40012105455 in words is "forty billion, twelve million, one hundred five thousand, four hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 61 63 105 183 305 315 427 461 549 915 1281 1383 2135 2305 2745 3227 3843 4149 4517 6405 6915 9681 13551 16135 19215 20745 22585 28121 29043 31619 40653 48405 67755 84363 94857 140605 145215 158095 196847 203265 253089 275537 284571 421815 474285 590541 826611 984235 1265445 1377685 1422855 1771623 1928759 2082337 2479833 2952705 4133055 5786277 6247011 8858115 9643795 10411685 12399165 14576359 17358831 18741033 28931385 31235055 43729077 72881795 86794155 93705165 127022557 131187231 218645385 381067671 635112785 655936155 889157899 1143203013 1905338355 2667473697 4445789495 5716015065 8002421091 13337368485 40012105455