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1023140321504 = 25753772311159
BaseRepresentation
bin11101110001101111110…
…10100101100011100000
310121210220102000112222122
432320313322211203200
5113230342410242004
62102005115523412
7133630241145140
oct16706772454340
93553812015878
101023140321504
11364a03046a44
1214635b759568
1375635448482
143773d820920
151b933042cbe
hexee37ea58e0

1023140321504 has 96 divisors (see below), whose sum is σ = 2346014845440. Its totient is φ = 430121083392.

The previous prime is 1023140321503. The next prime is 1023140321507. The reversal of 1023140321504 is 4051230413201.

It is a happy number.

It is a super-2 number, since 2×10231403215042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023140321501) 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, 91681877 + ... + 91693035.

It is an arithmetic number, because the mean of its divisors is an integer number (24437654640).

Almost surely, 21023140321504 is an apocalyptic number.

1023140321504 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 1023140321504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173007422720).

1023140321504 is an abundant number, since it is smaller than the sum of its proper divisors (1322874523936).

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

1023140321504 is a wasteful number, since it uses less digits than its factorization.

1023140321504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18952 (or 18944 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 1023140321504 its reverse (4051230413201), we get a palindrome (5074370734705).

The spelling of 1023140321504 in words is "one trillion, twenty-three billion, one hundred forty million, three hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1484 1696 2968 5936 7723 11159 11872 15446 22318 30892 44636 54061 61784 78113 89272 108122 123568 156226 178544 216244 247136 312452 357088 409319 432488 591427 624904 818638 864976 1182854 1249808 1637276 1729952 2365708 2499616 2865233 3274552 4139989 4731416 5730466 6549104 8279978 9462832 11460932 13098208 16559956 18925664 22921864 33119912 45843728 66239824 86180957 91687456 132479648 172361914 344723828 603266699 689447656 1206533398 1378895312 2413066796 2757790624 4567590721 4826133592 9135181442 9652267184 18270362884 19304534368 31973135047 36540725768 63946270094 73081451536 127892540188 146162903072 255785080376 511570160752 1023140321504