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10403242014420 = 22325104955096081
BaseRepresentation
bin1001011101100011000110…
…0010110111011011010100
31100211112120211020000112100
42113120301202313123110
52330421314423430140
634043103340522100
72122416015043353
oct227306142673324
940745524200470
1010403242014420
113350a989a5882
121200274850330
135a6038355a98
1427d73bad599a
1513092b288530
hex976318b76d4

10403242014420 has 72 divisors (see below), whose sum is σ = 31586583810600. Its totient is φ = 2771553208320.

The previous prime is 10403242014419. The next prime is 10403242014427. The reversal of 10403242014420 is 2441024230401.

10403242014420 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 32 + 4 + 201 + 4 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4334449180356 + 6068792834064 = 2081934^2 + 2463492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10403242014427) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 27359221 + ... + 27736860.

It is an arithmetic number, because the mean of its divisors is an integer number (438702552925).

Almost surely, 210403242014420 is an apocalyptic number.

10403242014420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10403242014420 is an abundant number, since it is smaller than the sum of its proper divisors (21183341796180).

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

10403242014420 is a wasteful number, since it uses less digits than its factorization.

10403242014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55097145 (or 55097140 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10403242014420 its reverse (2441024230401), we get a palindrome (12844266244821).

The spelling of 10403242014420 in words is "ten trillion, four hundred three billion, two hundred forty-two million, fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1049 2098 3147 4196 5245 6294 9441 10490 12588 15735 18882 20980 31470 37764 47205 62940 94410 188820 55096081 110192162 165288243 220384324 275480405 330576486 495864729 550960810 661152972 826441215 991729458 1101921620 1652882430 1983458916 2479323645 3305764860 4958647290 9917294580 57795788969 115591577938 173387366907 231183155876 288978944845 346774733814 520162100721 577957889690 693549467628 866936834535 1040324201442 1155915779380 1733873669070 2080648402884 2600810503605 3467747338140 5201621007210 10403242014420