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2314420501440 = 26352938228173
BaseRepresentation
bin100001101011011110001…
…101100011101111000000
322012020220221111020211010
4201223132031203233000
5300404413122021230
64531121411320520
7326132332445565
oct41533615435700
98166827436733
102314420501440
118125a4044273
123146728b0140
1313a330b40b68
1480038c8886c
154030b6829b0
hex21ade363bc0

2314420501440 has 112 divisors (see below), whose sum is σ = 7373365459488. Its totient is φ = 615072313344.

The previous prime is 2314420501427. The next prime is 2314420501483. The reversal of 2314420501440 is 441050244132.

2314420501440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2314420501398 and 2314420501407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3832807 + ... + 4395366.

It is an arithmetic number, because the mean of its divisors is an integer number (65833620174).

Almost surely, 22314420501440 is an apocalyptic number.

2314420501440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314420501440 is an abundant number, since it is smaller than the sum of its proper divisors (5058944958048).

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

2314420501440 is a wasteful number, since it uses less digits than its factorization.

2314420501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8228486 (or 8228476 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 2314420501440 its reverse (441050244132), we get a palindrome (2755470745572).

The spelling of 2314420501440 in words is "two trillion, three hundred fourteen billion, four hundred twenty million, five hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 293 320 480 586 879 960 1172 1465 1758 2344 2930 3516 4395 4688 5860 7032 8790 9376 11720 14064 17580 18752 23440 28128 35160 46880 56256 70320 93760 140640 281280 8228173 16456346 24684519 32912692 41140865 49369038 65825384 82281730 98738076 123422595 131650768 164563460 197476152 246845190 263301536 329126920 394952304 493690380 526603072 658253840 789904608 987380760 1316507680 1579809216 1974761520 2410854689 2633015360 3949523040 4821709378 7232564067 7899046080 9643418756 12054273445 14465128134 19286837512 24108546890 28930256268 36162820335 38573675024 48217093780 57860512536 72325640670 77147350048 96434187560 115721025072 144651281340 154294700096 192868375120 231442050144 289302562680 385736750240 462884100288 578605125360 771473500480 1157210250720 2314420501440