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414225352621 = 17294142148677
BaseRepresentation
bin1100000011100011100…
…00010100011110101101
31110121012002002011020201
412001301300110132231
523241313142240441
6514143102513501
741632614255163
oct6016160243655
91417162064221
10414225352621
1114a74345a373
1268343295891
13300a4840062
141609757b233
15ab956e2c31
hex6071c147ad

414225352621 has 32 divisors (see below), whose sum is σ = 465895190880. Its totient is φ = 366355046400.

The previous prime is 414225352591. The next prime is 414225352633. The reversal of 414225352621 is 126253522414.

It can be written as a sum of positive squares in 16 ways, for example, as 232382807721 + 181842544900 = 482061^2 + 426430^2 .

It is a cyclic number.

It is not a de Polignac number, because 414225352621 - 217 = 414225221549 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414225358621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8485335 + ... + 8534011.

It is an arithmetic number, because the mean of its divisors is an integer number (14559224715).

Almost surely, 2414225352621 is an apocalyptic number.

414225352621 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

414225352621 is a deficient number, since it is larger than the sum of its proper divisors (51669838259).

414225352621 is a wasteful number, since it uses less digits than its factorization.

414225352621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49185.

The product of its digits is 115200, while the sum is 37.

The spelling of 414225352621 in words is "four hundred fourteen billion, two hundred twenty-five million, three hundred fifty-two thousand, six hundred twenty-one".

Divisors: 1 17 29 41 421 493 697 1189 7157 12209 17261 20213 48677 207553 293437 500569 827509 1411633 1995757 8509673 20493017 23997761 33927869 57876953 348381289 594297493 840213697 983908201 10103057381 14283632849 24366197213 414225352621