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714153312 = 253223131823
BaseRepresentation
bin101010100100010…
…001110101100000
31211202210202011200
4222210101311200
52430310401222
6154510441200
723461126425
oct5244216540
91752722150
10714153312
11337136a54
1217b203200
13b4c56532
146abbdd4c
1542a6aeac
hex2a911d60

714153312 has 144 divisors (see below), whose sum is σ = 2137943808. Its totient is φ = 225688320.

The previous prime is 714153269. The next prime is 714153359. The reversal of 714153312 is 213351417.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 867333 + ... + 868155.

It is an arithmetic number, because the mean of its divisors is an integer number (14846832).

Almost surely, 2714153312 is an apocalyptic number.

714153312 is a gapful number since it is divisible by the number (72) 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 714153312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068971904).

714153312 is an abundant number, since it is smaller than the sum of its proper divisors (1423790496).

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

714153312 is a wasteful number, since it uses less digits than its factorization.

714153312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 982 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 714153312 is about 26723.6470564929. The cubic root of 714153312 is about 893.8482994103.

The spelling of 714153312 in words is "seven hundred fourteen million, one hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 131 138 144 184 207 262 276 288 368 393 414 524 552 736 786 823 828 1048 1104 1179 1572 1646 1656 2096 2208 2358 2469 3013 3144 3292 3312 4192 4716 4938 6026 6288 6584 6624 7407 9039 9432 9876 12052 12576 13168 14814 18078 18864 18929 19752 24104 26336 27117 29628 36156 37728 37858 39504 48208 54234 56787 59256 72312 75716 79008 96416 107813 108468 113574 118512 144624 151432 170361 215626 216936 227148 237024 289248 302864 323439 340722 431252 433872 454296 605728 646878 681444 862504 867744 908592 970317 1293756 1362888 1725008 1817184 1940634 2479699 2587512 2725776 3450016 3881268 4959398 5175024 5451552 7439097 7762536 9918796 10350048 14878194 15525072 19837592 22317291 29756388 31050144 39675184 44634582 59512776 79350368 89269164 119025552 178538328 238051104 357076656 714153312