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14004021444 = 22372191124693
BaseRepresentation
bin11010000101011010…
…00110100011000100
31100010222000222221220
431002231012203010
5212140012141234
610233334440340
71004014134600
oct150255064304
940128028856
1014004021444
115a369a5646
122869b030b0
1314223b942a
1496bc42500
1556e679a49
hex342b468c4

14004021444 has 72 divisors (see below), whose sum is σ = 38210231808. Its totient is φ = 3980168640.

The previous prime is 14004021413. The next prime is 14004021457. The reversal of 14004021444 is 44412040041.

It is a happy number.

It is a super-2 number, since 2×140040214442 (a number of 21 digits) contains 22 as substring.

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, 49962 + ... + 174654.

It is an arithmetic number, because the mean of its divisors is an integer number (530697664).

Almost surely, 214004021444 is an apocalyptic number.

14004021444 is a gapful number since it is divisible by the number (14) 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 14004021444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19105115904).

14004021444 is an abundant number, since it is smaller than the sum of its proper divisors (24206210364).

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

14004021444 is a wasteful number, since it uses less digits than its factorization.

14004021444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124905 (or 124896 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14004021444 its reverse (44412040041), we get a palindrome (58416061485).

The spelling of 14004021444 in words is "fourteen billion, four million, twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 191 196 294 382 573 588 764 1146 1337 2292 2674 4011 5348 8022 9359 16044 18718 28077 37436 56154 112308 124693 249386 374079 498772 748158 872851 1496316 1745702 2618553 3491404 5237106 6109957 10474212 12219914 18329871 23816363 24439828 36659742 47632726 71449089 73319484 95265452 142898178 166714541 285796356 333429082 500143623 666858164 1000287246 1167001787 2000574492 2334003574 3501005361 4668007148 7002010722 14004021444