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414245326716 = 223413456121563
BaseRepresentation
bin1100000011100101111…
…00100000111101111100
31110121020110122221120000
412001302330200331330
523241333300423331
6514145054554300
741633246115534
oct6016274407574
91417213587500
10414245326716
1114a753762191
1268349b08990
13300a8a14750
141609a09a4c4
15ab9733b0e6
hex6072f20f7c

414245326716 has 120 divisors (see below), whose sum is σ = 1166530370544. Its totient is φ = 127426245120.

The previous prime is 414245326709. The next prime is 414245326721. The reversal of 414245326716 is 617623542414.

414245326716 is a `hidden beast` number, since 4 + 1 + 42 + 4 + 532 + 6 + 71 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19200151 + ... + 19221713.

Almost surely, 2414245326716 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 414245326716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583265185272).

414245326716 is an abundant number, since it is smaller than the sum of its proper divisors (752285043828).

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

414245326716 is a wasteful number, since it uses less digits than its factorization.

414245326716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26153 (or 26142 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 414245326716 in words is "four hundred fourteen billion, two hundred forty-five million, three hundred twenty-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 4561 9122 13683 18244 21563 27366 41049 43126 54732 59293 64689 82098 86252 118586 123147 129378 164196 177879 194067 237172 246294 258756 280319 355758 369441 388134 492588 533637 560638 582201 711516 738882 776268 840957 1067274 1121276 1164402 1477764 1600911 1681914 1746603 2134548 2328804 2522871 3201822 3363828 3493206 4802733 5045742 6403644 6986412 7568613 9605466 10091484 15137226 19210932 22705839 30274452 45411678 90823356 98348843 196697686 295046529 393395372 590093058 885139587 1180186116 1278534959 1770279174 2557069918 2655418761 3540558348 3835604877 5114139836 5310837522 7671209754 7966256283 10621675044 11506814631 15342419508 15932512566 23013629262 31865025132 34520443893 46027258524 69040887786 103561331679 138081775572 207122663358 414245326716