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11443642038540 = 2234537011908667
BaseRepresentation
bin1010011010000110111000…
…1101111111100100001100
31111112000001002102022110000
42212201232031333210030
52444443034330213130
640201045300044300
72260530055245315
oct246415615774414
944460032368400
1011443642038540
113712248660858
121349a30693690
1365019152342a
142b7c378b960c
1514ca1e6a2260
hexa686e37f90c

11443642038540 has 120 divisors (see below), whose sum is σ = 35908847572752. Its totient is φ = 3050811734400.

The previous prime is 11443642038523. The next prime is 11443642038559. The reversal of 11443642038540 is 4583024634411.

11443642038540 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 36 + 42 + 0 + 38 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5041287 + ... + 6949953.

Almost surely, 211443642038540 is an apocalyptic number.

11443642038540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11443642038540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17954423786376).

11443642038540 is an abundant number, since it is smaller than the sum of its proper divisors (24465205534212).

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

11443642038540 is a wasteful number, since it uses less digits than its factorization.

11443642038540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912389 (or 1912378 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 11443642038540 in words is "eleven trillion, four hundred forty-three billion, six hundred forty-two million, thirty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 3701 7402 11103 14804 18505 22206 33309 37010 44412 55515 66618 74020 99927 111030 133236 166545 199854 222060 299781 333090 399708 499635 599562 666180 999270 1199124 1498905 1908667 1998540 2997810 3817334 5726001 5995620 7634668 9543335 11452002 17178003 19086670 22904004 28630005 34356006 38173340 51534009 57260010 68712012 85890015 103068018 114520020 154602027 171780030 206136036 257670045 309204054 343560060 515340090 618408108 773010135 1030680180 1546020270 3092040540 7063976567 14127953134 21191929701 28255906268 35319882835 42383859402 63575789103 70639765670 84767718804 105959648505 127151578206 141279531340 190727367309 211919297010 254303156412 317878945515 381454734618 423838594020 572182101927 635757891030 762909469236 953636836545 1144364203854 1271515782060 1907273673090 2288728407708 2860910509635 3814547346180 5721821019270 11443642038540