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10141414320 = 243553797281
BaseRepresentation
bin10010111000111100…
…11011001110110000
3222011202212020002210
421130132123032300
5131232200224240
64354153412120
7506212412412
oct113436331660
928152766083
1010141414320
114334622754
121b7040a040
13c580a149b
146c2c549b2
153e54e3780
hex25c79b3b0

10141414320 has 80 divisors (see below), whose sum is σ = 32031601632. Its totient is φ = 2653347840.

The previous prime is 10141414279. The next prime is 10141414321. The reversal of 10141414320 is 2341414101.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10141414321) 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, 385921 + ... + 411360.

Almost surely, 210141414320 is an apocalyptic number.

10141414320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141414320 is an abundant number, since it is smaller than the sum of its proper divisors (21890187312).

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

10141414320 is a wasteful number, since it uses less digits than its factorization.

10141414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797350 (or 797344 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10141414320 its reverse (2341414101), we get a palindrome (12482828421).

The spelling of 10141414320 in words is "ten billion, one hundred forty-one million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 12720 797281 1594562 2391843 3189124 3986405 4783686 6378248 7972810 9567372 11959215 12756496 15945620 19134744 23918430 31891240 38269488 42255893 47836860 63782480 84511786 95673720 126767679 169023572 191347440 211279465 253535358 338047144 422558930 507070716 633838395 676094288 845117860 1014141432 1267676790 1690235720 2028282864 2535353580 3380471440 5070707160 10141414320