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10413412440 = 233553230893
BaseRepresentation
bin10011011001011000…
…00001000001011000
3222212201200011101020
421230230001001120
5132311313144230
64441151322440
7516024355014
oct115454010130
928781604336
1010413412440
114464110992
122027520420
13c9c546912
1470b019544
1540e320810
hex26cb01058

10413412440 has 96 divisors (see below), whose sum is σ = 31841827920. Its totient is φ = 2724427264.

The previous prime is 10413412439. The next prime is 10413412453. The reversal of 10413412440 is 4421431401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10413412440.

It is a congruent number.

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, 321634 + ... + 352526.

Almost surely, 210413412440 is an apocalyptic number.

10413412440 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 10413412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15920913960).

10413412440 is an abundant number, since it is smaller than the sum of its proper divisors (21428415480).

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

10413412440 is a wasteful number, since it uses less digits than its factorization.

10413412440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31013 (or 30956 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10413412440 its reverse (4421431401), we get a palindrome (14834843841).

The spelling of 10413412440 in words is "ten billion, four hundred thirteen million, four hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 2809 3180 5618 6360 8427 11236 14045 16854 22472 28090 30893 33708 42135 56180 61786 67416 84270 92679 112360 123572 154465 168540 185358 247144 308930 337080 370716 463395 617860 741432 926790 1235720 1637329 1853580 3274658 3707160 4911987 6549316 8186645 9823974 13098632 16373290 19647948 24559935 32746580 39295896 49119870 65493160 86778437 98239740 173556874 196479480 260335311 347113748 433892185 520670622 694227496 867784370 1041341244 1301676555 1735568740 2082682488 2603353110 3471137480 5206706220 10413412440