Search a number
-
+
714995306604 = 2233431069114401
BaseRepresentation
bin10100110011110010000…
…10101001000001101100
32112100112020210220022000
422121321002221001230
543203302244302404
61304244142452300
7102441151554405
oct12317102510154
92470466726260
10714995306604
11256256235477
12b66a2594090
1352568031927
142686aa669ac
15138ea791339
hexa6790a906c

714995306604 has 96 divisors (see below), whose sum is σ = 1897109786880. Its totient is φ = 232751232000.

The previous prime is 714995306533. The next prime is 714995306657. The reversal of 714995306604 is 406603599417.

714995306604 is a `hidden beast` number, since 7 + 1 + 49 + 9 + 530 + 6 + 60 + 4 = 666.

It is a super-2 number, since 2×7149953066042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49641804 + ... + 49656204.

It is an arithmetic number, because the mean of its divisors is an integer number (19761560280).

Almost surely, 2714995306604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714995306604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948554893440).

714995306604 is an abundant number, since it is smaller than the sum of its proper divisors (1182114480276).

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

714995306604 is a wasteful number, since it uses less digits than its factorization.

714995306604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25148 (or 25140 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 714995306604 in words is "seven hundred fourteen billion, nine hundred ninety-five million, three hundred six thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4644 10691 14401 21382 28802 32073 42764 43203 57604 64146 86406 96219 128292 129609 172812 192438 259218 288657 384876 388827 459713 518436 577314 619243 777654 919426 1154628 1238486 1379139 1555308 1838852 1857729 2476972 2758278 3715458 4137417 5516556 5573187 7430916 8274834 11146374 12412251 16549668 16719561 22292748 24824502 33439122 49649004 66878244 153961091 307922182 461883273 615844364 923766546 1385649819 1847533092 2771299638 4156949457 5542599276 6620326913 8313898914 13240653826 16627797828 19860980739 26481307652 39721961478 59582942217 79443922956 119165884434 178748826651 238331768868 357497653302 714995306604