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14327002704 = 2437292416101
BaseRepresentation
bin11010101011111010…
…01011011001010000
31100222110210010221210
431111331023121100
5213320203041304
610325353220120
71015015341120
oct152575133120
940873703853
1014327002704
116092246203
12293a101640
1314742a25c1
1499cab8c80
1558cbc7c89
hex355f4b650

14327002704 has 160 divisors (see below), whose sum is σ = 43946115840. Its totient is φ = 3935232000.

The previous prime is 14327002699. The next prime is 14327002709. The reversal of 14327002704 is 40720072341.

It is an interprime number because it is at equal distance from previous prime (14327002699) and next prime (14327002709).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14327002709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2345254 + ... + 2351354.

It is an arithmetic number, because the mean of its divisors is an integer number (274663224).

Almost surely, 214327002704 is an apocalyptic number.

14327002704 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 14327002704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21973057920).

14327002704 is an abundant number, since it is smaller than the sum of its proper divisors (29619113136).

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

14327002704 is a wasteful number, since it uses less digits than its factorization.

14327002704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6383 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The spelling of 14327002704 in words is "fourteen billion, three hundred twenty-seven million, two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 241 336 348 406 464 482 609 696 723 812 964 1218 1392 1446 1624 1687 1928 2436 2892 3248 3374 3856 4872 5061 5784 6101 6748 6989 9744 10122 11568 12202 13496 13978 18303 20244 20967 24404 26992 27956 36606 40488 41934 42707 48808 48923 55912 73212 80976 83868 85414 97616 97846 111824 128121 146424 146769 167736 170828 176929 195692 256242 292848 293538 335472 341656 353858 391384 512484 530787 587076 683312 707716 782768 1024968 1061574 1174152 1238503 1415432 1470341 2049936 2123148 2348304 2477006 2830864 2940682 3715509 4246296 4411023 4954012 5881364 7431018 8492592 8822046 9908024 10292387 11762728 14862036 17644092 19816048 20584774 23525456 29724072 30877161 35288184 41169548 42639889 59448144 61754322 70576368 82339096 85279778 123508644 127919667 164678192 170559556 247017288 255839334 298479223 341119112 494034576 511678668 596958446 682238224 895437669 1023357336 1193916892 1790875338 2046714672 2387833784 3581750676 4775667568 7163501352 14327002704