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14434010420004 = 22327137418086271
BaseRepresentation
bin1101001000001010111000…
…0100000101001100100100
31220002212201000002200010200
43102002232010011030210
53342441323131420004
650410520504350500
73016552143143040
oct322025604051444
956085630080120
1014434010420004
11466547a651a0a
1217514a8a75430
13809176786866
1437c877543020
151a06dd553239
hexd20ae105324

14434010420004 has 72 divisors (see below), whose sum is σ = 42002619230208. Its totient is φ = 4093900755840.

The previous prime is 14434010419999. The next prime is 14434010420009. The reversal of 14434010420004 is 40002401043441.

14434010420004 is a `hidden beast` number, since 1 + 443 + 4 + 0 + 10 + 4 + 200 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (14434010419999) and next prime (14434010420009).

It is a self number, because there is not a number n which added to its sum of digits gives 14434010420004.

It is not an unprimeable number, because it can be changed into a prime (14434010420009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209008612 + ... + 209077659.

Almost surely, 214434010420004 is an apocalyptic number.

14434010420004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14434010420004 is an abundant number, since it is smaller than the sum of its proper divisors (27568608810204).

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

14434010420004 is a wasteful number, since it uses less digits than its factorization.

14434010420004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418086425 (or 418086420 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14434010420004 its reverse (40002401043441), we get a palindrome (54436411463445).

The spelling of 14434010420004 in words is "fourteen trillion, four hundred thirty-four billion, ten million, four hundred twenty thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 252 274 411 548 822 959 1233 1644 1918 2466 2877 3836 4932 5754 8631 11508 17262 34524 418086271 836172542 1254258813 1672345084 2508517626 2926603897 3762776439 5017035252 5853207794 7525552878 8779811691 11706415588 15051105756 17559623382 26339435073 35119246764 52678870146 57277819127 105357740292 114555638254 171833457381 229111276508 343666914762 400944733889 515500372143 687333829524 801889467778 1031000744286 1202834201667 1603778935556 2062001488572 2405668403334 3608502605001 4811336806668 7217005210002 14434010420004