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1434425324040 = 233253984514789
BaseRepresentation
bin10100110111111010011…
…010010111001000001000
312002010111120022110012100
4110313322122113020020
5142000200340332130
63014544344513400
7205430253036162
oct24677232271010
95063446273170
101434425324040
11503377777815
121b200217b860
13a535ba5a7b7
144d5d8681932
15274a5525c60
hex14dfa697208

1434425324040 has 48 divisors (see below), whose sum is σ = 4661882304300. Its totient is φ = 382513419648.

The previous prime is 1434425324027. The next prime is 1434425324041. The reversal of 1434425324040 is 404235244341.

1434425324040 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 42 + 532 + 40 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1295321686884 + 139103637156 = 1138122^2 + 372966^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1434425323986 and 1434425324004.

It is not an unprimeable number, because it can be changed into a prime (1434425324041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1992257035 + ... + 1992257754.

Almost surely, 21434425324040 is an apocalyptic number.

1434425324040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1434425324040 is an abundant number, since it is smaller than the sum of its proper divisors (3227456980260).

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

1434425324040 is a wasteful number, since it uses less digits than its factorization.

1434425324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984514806 (or 3984514799 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 1434425324040 in words is "one trillion, four hundred thirty-four billion, four hundred twenty-five million, three hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3984514789 7969029578 11953544367 15938059156 19922573945 23907088734 31876118312 35860633101 39845147890 47814177468 59767721835 71721266202 79690295780 95628354936 119535443670 143442532404 159380591560 179303165505 239070887340 286885064808 358606331010 478141774680 717212662020 1434425324040