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11425114000 = 24535996823
BaseRepresentation
bin10101010001111110…
…10110011110010000
31002111020100221000101
422220333112132100
5141344312122000
65125411502144
7553060603156
oct125077263620
932436327011
1011425114000
1149331a7283
12226a2b7954
13110101ccb1
147a55313d6
1546d063e6a
hex2a8fd6790

11425114000 has 80 divisors (see below), whose sum is σ = 28094451840. Its totient is φ = 4492540800.

The previous prime is 11425113989. The next prime is 11425114009. The reversal of 11425114000 is 41152411.

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 (11425114009) 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, 69589 + ... + 166411.

It is an arithmetic number, because the mean of its divisors is an integer number (351180648).

Almost surely, 211425114000 is an apocalyptic number.

11425114000 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 11425114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14047225920).

11425114000 is an abundant number, since it is smaller than the sum of its proper divisors (16669337840).

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

11425114000 is an equidigital number, since it uses as much as digits as its factorization.

11425114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96905 (or 96889 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 11425114000 its reverse (41152411), we get a palindrome (11466266411).

The spelling of 11425114000 in words is "eleven billion, four hundred twenty-five million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 400 472 500 590 944 1000 1180 1475 2000 2360 2950 4720 5900 7375 11800 14750 23600 29500 59000 96823 118000 193646 387292 484115 774584 968230 1549168 1936460 2420575 3872920 4841150 5712557 7745840 9682300 11425114 12102875 19364600 22850228 24205750 28562785 38729200 45700456 48411500 57125570 91400912 96823000 114251140 142813925 193646000 228502280 285627850 457004560 571255700 714069625 1142511400 1428139250 2285022800 2856278500 5712557000 11425114000