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4430372474025 = 325223261012
BaseRepresentation
bin100000001111000011011…
…0001110000110010101001
3120200112120021102121121100
41000132012301300302221
51040041400323132100
613231141321432013
7635040521452101
oct100360661606251
916615507377540
104430372474025
111458a01842273
125b677693b609
13261a22a235a4
141146071c8201
157a39e055400
hex40786c70ca9

4430372474025 has 81 divisors (see below), whose sum is σ = 8296662378277. Its totient is φ = 2259761592000.

The previous prime is 4430372473987. The next prime is 4430372474051. The reversal of 4430372474025 is 5204742730344.

The square root of 4430372474025 is 2104845.

It is a perfect power (a square), and thus also a powerful number.

4430372474025 is a `hidden beast` number, since 44 + 303 + 7 + 247 + 40 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 290463849 + 4430082010176 = 17043^2 + 2104776^2 .

It is not a de Polignac number, because 4430372474025 - 211 = 4430372471977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 726168475 + ... + 726174575.

Almost surely, 24430372474025 is an apocalyptic number.

4430372474025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4430372474025 is the 2104845-th square number.

4430372474025 is the 1052423-rd centered octagonal number.

It is an amenable number.

4430372474025 is a deficient number, since it is larger than the sum of its proper divisors (3866289904252).

4430372474025 is an frugal number, since it uses more digits than its factorization.

4430372474025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12264 (or 6132 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 45.

The spelling of 4430372474025 in words is "four trillion, four hundred thirty billion, three hundred seventy-two million, four hundred seventy-four thousand, twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 207 225 345 529 575 1035 1587 1725 2645 4761 5175 6101 7935 13225 18303 23805 30505 39675 54909 91515 119025 140323 152525 274545 420969 457575 701615 1262907 1372725 2104845 3227429 3508075 6314535 9682287 10524225 16137145 29046861 31572675 37222201 48411435 80685725 111666603 145234305 186111005 242057175 334999809 558333015 726171525 856110623 930555025 1674999045 2568331869 2791665075 4280553115 7704995607 8374995225 12841659345 19690544329 21402765575 38524978035 59071632987 64208296725 98452721645 177214898961 192624890175 295358164935 492263608225 886074494805 1476790824675 4430372474025