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21514414032440 = 2357102117524943
BaseRepresentation
bin1001110010001001101110…
…00000011000011000111000
32211011202110111122100200122
410321010313000120120320
510304443004443014230
6113431330234352412
74350236143633430
oct471046700303070
984152414570618
1021514414032440
11694523692932a
1224b577988b708
13c00a53a21904
14545435d792c0
1527498c899be5
hex139137018638

21514414032440 has 64 divisors (see below), whose sum is σ = 55328204252160. Its totient is φ = 7375647150720.

The previous prime is 21514414032413. The next prime is 21514414032443. The reversal of 21514414032440 is 4423041441512.

It is a super-2 number, since 2×215144140324402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 21514414032440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21514414032443) 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, 903392 + ... + 6621551.

It is an arithmetic number, because the mean of its divisors is an integer number (864503191440).

Almost surely, 221514414032440 is an apocalyptic number.

21514414032440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21514414032440 is an abundant number, since it is smaller than the sum of its proper divisors (33813790219720).

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

21514414032440 is a wasteful number, since it uses less digits than its factorization.

21514414032440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7535172 (or 7535168 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 21514414032440 its reverse (4423041441512), we get a palindrome (25937455473952).

The spelling of 21514414032440 in words is "twenty-one trillion, five hundred fourteen billion, four hundred fourteen million, thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 10211 20422 40844 51055 71477 81688 102110 142954 204220 285908 357385 408440 571816 714770 1429540 2859080 7524943 15049886 30099772 37624715 52674601 60199544 75249430 105349202 150498860 210698404 263373005 300997720 421396808 526746010 1053492020 2106984040 76837192973 153674385946 307348771892 384185964865 537860350811 614697543784 768371929730 1075720701622 1536743859460 2151441403244 2689301754055 3073487718920 4302882806488 5378603508110 10757207016220 21514414032440