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14115000408 = 2332961732869
BaseRepresentation
bin11010010010101000…
…11101000001011000
31100102200212022110220
431021110131001120
5212401420003113
610252341240040
71006532344455
oct151124350130
940380768426
1014115000408
115a936057a3
12289b103020
13143c3a5262
1497c89082c
1557929c523
hex34951d058

14115000408 has 64 divisors (see below), whose sum is σ = 36564588000. Its totient is φ = 4535258112.

The previous prime is 14115000407. The next prime is 14115000409. The reversal of 14115000408 is 80400051141.

It is an interprime number because it is at equal distance from previous prime (14115000407) and next prime (14115000409).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14115000407) 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, 412998 + ... + 445866.

Almost surely, 214115000408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14115000408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18282294000).

14115000408 is an abundant number, since it is smaller than the sum of its proper divisors (22449587592).

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

14115000408 is a wasteful number, since it uses less digits than its factorization.

14115000408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33524 (or 33520 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 14115000408 its reverse (80400051141), we get a palindrome (94515051549).

The spelling of 14115000408 in words is "fourteen billion, one hundred fifteen million, four hundred eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 617 696 1234 1851 2468 3702 4936 7404 14808 17893 32869 35786 53679 65738 71572 98607 107358 131476 143144 197214 214716 262952 394428 429432 788856 953201 1906402 2859603 3812804 5719206 7625608 11438412 20280173 22876824 40560346 60840519 81120692 121681038 162241384 243362076 486724152 588125017 1176250034 1764375051 2352500068 3528750102 4705000136 7057500204 14115000408