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714053294352 = 243267355720807
BaseRepresentation
bin10100110010000001110…
…01001001100100010000
32112021002121020201102100
422121000321021210100
543144340120404402
61304010452120400
7102405622600116
oct12310071114420
92467077221370
10714053294352
11255912518752
12b647b006100
1352447b18828
14267bb8d1ab6
1513892c1671c
hexa640e49910

714053294352 has 120 divisors (see below), whose sum is σ = 2028851413056. Its totient is φ = 234388078848.

The previous prime is 714053294341. The next prime is 714053294377. The reversal of 714053294352 is 253492350417.

It is a happy number.

714053294352 is a `hidden beast` number, since 7 + 1 + 4 + 0 + 5 + 3 + 294 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 714053294298 and 714053294307.

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, 34307533 + ... + 34328339.

Almost surely, 2714053294352 is an apocalyptic number.

714053294352 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 714053294352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014425706528).

714053294352 is an abundant number, since it is smaller than the sum of its proper divisors (1314798118704).

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

714053294352 is a wasteful number, since it uses less digits than its factorization.

714053294352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24445 (or 24436 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 714053294352 in words is "seven hundred fourteen billion, fifty-three million, two hundred ninety-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 3557 4824 7114 9648 10671 14228 20807 21342 28456 32013 41614 42684 56912 62421 64026 83228 85368 124842 128052 166456 170736 187263 238319 249684 256104 332912 374526 476638 499368 512208 714957 749052 953276 998736 1394069 1429914 1498104 1906552 2144871 2788138 2859828 2996208 3813104 4182207 4289742 5576276 5719656 8364414 8579484 11152552 11439312 12546621 16728828 17158968 22305104 25093242 33457656 34317936 50186484 66915312 74010499 100372968 148020998 200745936 222031497 296041996 444062994 592083992 666094491 888125988 1184167984 1332188982 1776251976 2664377964 3552503952 4958703433 5328755928 9917406866 10657511856 14876110299 19834813732 29752220598 39669627464 44628330897 59504441196 79339254928 89256661794 119008882392 178513323588 238017764784 357026647176 714053294352