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1398414076752 = 243711715328997
BaseRepresentation
bin10100010110010111111…
…110010110101101010000
311221200112212210112202210
4110112113332112231100
5140402423000424002
62550231134512120
7203014001346060
oct24262776265520
94850485715683
101398414076752
1149a078320720
121a7032065640
13a1b4018c454
144b97db3b3a0
1526598ce196c
hex14597f96b50

1398414076752 has 160 divisors (see below), whose sum is σ = 4567420237824. Its totient is φ = 358108531200.

The previous prime is 1398414076751. The next prime is 1398414076789. The reversal of 1398414076752 is 2576704148931.

It is a junction number, because it is equal to n+sod(n) for n = 1398414076692 and 1398414076701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398414076751) 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, 2402083 + ... + 2926914.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1398414076752 = 2796828153504, but 3⋅1398414076752 = 4195242230256 is not.

Almost surely, 21398414076752 is an apocalyptic number.

1398414076752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1398414076752 is an abundant number, since it is smaller than the sum of its proper divisors (3169006161072).

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

1398414076752 is a wasteful number, since it uses less digits than its factorization.

1398414076752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5329097 (or 5329091 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 1398414076752 in words is "one trillion, three hundred ninety-eight billion, four hundred fourteen million, seventy-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 71 77 84 88 112 132 142 154 168 176 213 231 264 284 308 336 426 462 497 528 568 616 781 852 924 994 1136 1232 1491 1562 1704 1848 1988 2343 2982 3124 3408 3696 3976 4686 5467 5964 6248 7952 9372 10934 11928 12496 16401 18744 21868 23856 32802 37488 43736 65604 87472 131208 262416 5328997 10657994 15986991 21315988 31973982 37302979 42631976 58618967 63947964 74605958 85263952 111908937 117237934 127895928 149211916 175856901 223817874 234475868 255791856 298423832 351713802 378358787 410332769 447635748 468951736 596847664 703427604 756717574 820665538 895271496 937903472 1135076361 1230998307 1406855208 1513435148 1641331076 1790542992 2270152722 2461996614 2648511509 2813710416 3026870296 3282662152 4161946657 4540305444 4923993228 5297023018 6053740592 6565324304 7945534527 8323893314 9080610888 9847986456 10594046036 12485839971 15891069054 16647786628 18161221776 19695972912 21188092072 24971679942 29133626599 31782138108 33295573256 42376184144 49943359884 58267253198 63564276216 66591146512 87400879797 99886719768 116534506396 127128552432 174801759594 199773439536 233069012792 349603519188 466138025584 699207038376 1398414076752