Search a number
-
+
425420434080 = 25325295430857
BaseRepresentation
bin1100011000011010000…
…10001010101010100000
31111200002021121012221100
412030031002022222200
523432230112342310
6523234020154400
742510213011505
oct6141502125240
91450067535840
10425420434080
11154468820804
126a548538a00
1331169cbc005
141683a30d4ac
15b0ed468ec0
hex630d08aaa0

425420434080 has 72 divisors (see below), whose sum is σ = 1451747236212. Its totient is φ = 113445448704.

The previous prime is 425420434063. The next prime is 425420434093. The reversal of 425420434080 is 80434024524.

425420434080 is a `hidden beast` number, since 4 + 2 + 542 + 0 + 4 + 34 + 0 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 389331073296 + 36089360784 = 623964^2 + 189972^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147713989 + ... + 147716868.

Almost surely, 2425420434080 is an apocalyptic number.

425420434080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

425420434080 is an abundant number, since it is smaller than the sum of its proper divisors (1026326802132).

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

425420434080 is a wasteful number, since it uses less digits than its factorization.

425420434080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295430878 (or 295430867 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 425420434080 in words is "four hundred twenty-five billion, four hundred twenty million, four hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 295430857 590861714 886292571 1181723428 1477154285 1772585142 2363446856 2658877713 2954308570 3545170284 4431462855 4726893712 5317755426 5908617140 7090340568 8862925710 9453787424 10635510852 11817234280 13294388565 14180681136 17725851420 21271021704 23634468560 26588777130 28361362272 35451702840 42542043408 47268937120 53177554260 70903405680 85084086816 106355108520 141806811360 212710217040 425420434080