Search a number
-
+
14400320832 = 263317490207
BaseRepresentation
bin11010110100101001…
…10111010101000000
31101011120202002112000
431122110313111000
5213442440231312
610340532504000
71016565464442
oct153224672500
941146662460
1014400320832
11611a6731a7
12295a77b000
131486533501
149a8722492
1559435badc
hex35a537540

14400320832 has 112 divisors (see below), whose sum is σ = 44824619520. Its totient is φ = 4517738496.

The previous prime is 14400320797. The next prime is 14400320833. The reversal of 14400320832 is 23802300441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14400320796 and 14400320805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14400320833) 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, 215728 + ... + 274479.

Almost surely, 214400320832 is an apocalyptic number.

14400320832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14400320832 is an abundant number, since it is smaller than the sum of its proper divisors (30424298688).

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

14400320832 is a wasteful number, since it uses less digits than its factorization.

14400320832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490245 (or 490229 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 14400320832 in words is "fourteen billion, four hundred million, three hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3672 4896 7344 9792 14688 29376 490207 980414 1470621 1960828 2941242 3921656 4411863 5882484 7843312 8333519 8823726 11764968 13235589 15686624 16667038 17647452 23529936 25000557 26471178 31373248 33334076 35294904 47059872 50001114 52942356 66668152 70589808 75001671 94119744 100002228 105884712 133336304 141179616 150003342 200004456 211769424 225005013 266672608 282359232 300006684 400008912 423538848 450010026 533345216 600013368 800017824 847077696 900020052 1200026736 1600035648 1800040104 2400053472 3600080208 4800106944 7200160416 14400320832