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1320231401440 = 25572351251219
BaseRepresentation
bin10011001101100011111…
…011000111011111100000
311200012202012022010120121
4103031203323013133200
5133112313214321230
62450301140450024
7164245364516140
oct23154373073740
94605665263517
101320231401440
114699a8231576
12193a529a9914
13976607021b3
1447c844a8920
152452014e77a
hex13363ec77e0

1320231401440 has 96 divisors (see below), whose sum is σ = 3719608542720. Its totient is φ = 432970289664.

The previous prime is 1320231401429. The next prime is 1320231401443. The reversal of 1320231401440 is 441041320231.

It is a super-3 number, since 3×13202314014403 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320231401443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25599850 + ... + 25651369.

It is an arithmetic number, because the mean of its divisors is an integer number (38745922320).

Almost surely, 21320231401440 is an apocalyptic number.

1320231401440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320231401440 is an abundant number, since it is smaller than the sum of its proper divisors (2399377141280).

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

1320231401440 is a wasteful number, since it uses less digits than its factorization.

1320231401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51251264 (or 51251256 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1320231401440 its reverse (441041320231), we get a palindrome (1761272721671).

The spelling of 1320231401440 in words is "one trillion, three hundred twenty billion, two hundred thirty-one million, four hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 560 644 736 805 920 1120 1288 1610 1840 2576 3220 3680 5152 6440 12880 25760 51251219 102502438 205004876 256256095 358758533 410009752 512512190 717517066 820019504 1025024380 1178778037 1435034132 1640039008 1793792665 2050048760 2357556074 2870068264 3587585330 4100097520 4715112148 5740136528 5893890185 7175170660 8200195040 8251446259 9430224296 11480273056 11787780370 14350341320 16502892518 18860448592 23575560740 28700682640 33005785036 37720897184 41257231295 47151121480 57401365280 66011570072 82514462590 94302242960 132023140144 165028925180 188604485920 264046280288 330057850360 660115700720 1320231401440