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10040324420 = 2257271144299
BaseRepresentation
bin10010101100111001…
…10011000101000100
3221220201122022211102
421112130303011010
5131030310340140
64340142555232
7503544230600
oct112634630504
927821568742
1010040324420
114292557385
121b42598b18
13c40168889
146b365c500
153db6c5e15
hex256733144

10040324420 has 72 divisors (see below), whose sum is σ = 24872702400. Its totient is φ = 3393888960.

The previous prime is 10040324383. The next prime is 10040324447. The reversal of 10040324420 is 2442304001.

It is a super-2 number, since 2×100403244202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10040324392 and 10040324401.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2570 + ... + 141729.

It is an arithmetic number, because the mean of its divisors is an integer number (345454200).

Almost surely, 210040324420 is an apocalyptic number.

10040324420 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 10040324420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12436351200).

10040324420 is an abundant number, since it is smaller than the sum of its proper divisors (14832377980).

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

10040324420 is a wasteful number, since it uses less digits than its factorization.

10040324420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144393 (or 144384 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10040324420 its reverse (2442304001), we get a palindrome (12482628421).

The spelling of 10040324420 in words is "ten billion, forty million, three hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 71 98 140 142 196 245 284 355 490 497 710 980 994 1420 1988 2485 3479 4970 6958 9940 13916 17395 34790 69580 144299 288598 577196 721495 1010093 1442990 2020186 2885980 4040372 5050465 7070651 10100930 10245229 14141302 20201860 20490458 28282604 35353255 40980916 51226145 70706510 71716603 102452290 141413020 143433206 204904580 286866412 358583015 502016221 717166030 1004032442 1434332060 2008064884 2510081105 5020162210 10040324420