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420250354000 = 2453210125177
BaseRepresentation
bin1100001110110001101…
…11111000000101010000
31111011201222011221100221
412013120313320011100
523341133042312000
6521021011322424
742235124032651
oct6073067700520
91434658157327
10420250354000
11152255407054
1269544bb0414
1330824b50829
14164a9817528
15ade961861a
hex61d8df8150

420250354000 has 40 divisors (see below), whose sum is σ = 1016165360808. Its totient is φ = 168100140800.

The previous prime is 420250353997. The next prime is 420250354001. The reversal of 420250354000 is 453052024.

It can be written as a sum of positive squares in 4 ways, for example, as 11095672896 + 409154681104 = 105336^2 + 639652^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4202503540002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420250354001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105060589 + ... + 105064588.

Almost surely, 2420250354000 is an apocalyptic number.

420250354000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420250354000 is an abundant number, since it is smaller than the sum of its proper divisors (595915006808).

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

420250354000 is a wasteful number, since it uses less digits than its factorization.

420250354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210125200 (or 210125184 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The spelling of 420250354000 in words is "four hundred twenty billion, two hundred fifty million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 210125177 420250354 840500708 1050625885 1681001416 2101251770 3362002832 4202503540 5253129425 8405007080 10506258850 16810014160 21012517700 26265647125 42025035400 52531294250 84050070800 105062588500 210125177000 420250354000