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714220250432 = 26132216130557
BaseRepresentation
bin10100110010010101101…
…10000010010101000000
32112021112020101222002212
422121022312002111000
543200210341003212
61304035214401252
7102413020650413
oct12311266022500
92467466358085
10714220250432
11255998791287
12b6506b00228
13524735a3500
14267d5b51b7a
15138a26e4e22
hexa64ad82540

714220250432 has 84 divisors (see below), whose sum is σ = 1535449109436. Its totient is φ = 329476792320.

The previous prime is 714220250423. The next prime is 714220250461. The reversal of 714220250432 is 234052022417.

It can be written as a sum of positive squares in 6 ways, for example, as 217961994496 + 496258255936 = 466864^2 + 704456^2 .

It is a super-2 number, since 2×7142202504322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23358098 + ... + 23388654.

Almost surely, 2714220250432 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 714220250432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767724554718).

714220250432 is an abundant number, since it is smaller than the sum of its proper divisors (821228859004).

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

714220250432 is a wasteful number, since it uses less digits than its factorization.

714220250432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32756 (or 32733 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

Adding to 714220250432 its reverse (234052022417), we get a palindrome (948272272849).

The spelling of 714220250432 in words is "seven hundred fourteen billion, two hundred twenty million, two hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2161 2704 4322 5408 8644 10816 17288 28093 30557 34576 56186 61114 69152 112372 122228 138304 224744 244456 365209 397241 449488 488912 730418 794482 898976 977824 1460836 1588964 1797952 1955648 2921672 3177928 5164133 5843344 6355856 10328266 11686688 12711712 20656532 23373376 25423424 41313064 66033677 82626128 132067354 165252256 264134708 330504512 528269416 858437801 1056538832 1716875602 2113077664 3433751204 4226155328 6867502408 11159691413 13735004816 22319382826 27470009632 44638765652 54940019264 89277531304 178555062608 357110125216 714220250432