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441417402192 = 243131578744809
BaseRepresentation
bin1100110110001101000…
…01110000011101010000
31120012101010201101202210
412123012201300131100
524213010323332232
6534441230512120
743614510003504
oct6330641603520
91505333641683
10441417402192
11160227685708
1271671965640
1332819253210
1417516ad2304
15b737a615cc
hex66c6870750

441417402192 has 80 divisors (see below), whose sum is σ = 1228151046080. Its totient is φ = 135809104896.

The previous prime is 441417402157. The next prime is 441417402193. The reversal of 441417402192 is 291204714144.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 441417402192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441417402193) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9828684 + ... + 9873492.

It is an arithmetic number, because the mean of its divisors is an integer number (15351888076).

Almost surely, 2441417402192 is an apocalyptic number.

It is an amenable number.

441417402192 is an abundant number, since it is smaller than the sum of its proper divisors (786733643888).

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

441417402192 is a wasteful number, since it uses less digits than its factorization.

441417402192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60620 (or 60614 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 441417402192 in words is "four hundred forty-one billion, four hundred seventeen million, four hundred two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 15787 31574 44809 47361 63148 89618 94722 126296 134427 179236 189444 205231 252592 268854 358472 378888 410462 537708 582517 615693 716944 757776 820924 1075416 1165034 1231386 1641848 1747551 2150832 2330068 2462772 3283696 3495102 4660136 4925544 6990204 9320272 9851088 13980408 27960816 707399683 1414799366 2122199049 2829598732 4244398098 5659197464 8488796196 9196195879 11318394928 16977592392 18392391758 27588587637 33955184784 36784783516 55177175274 73569567032 110354350548 147139134064 220708701096 441417402192