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400242002240 = 2651250756257
BaseRepresentation
bin1011101001100000100…
…10000100100101000000
31102021002112221100122202
411310300102010211000
523024143423032430
6503511343052332
740626240612623
oct5646022044500
91367075840582
10400242002240
111448181a3253
12656a02a10a8
132b986810632
141552c399dba
15a627c9cd45
hex5d30484940

400242002240 has 28 divisors (see below), whose sum is σ = 953076268596. Its totient is φ = 160096800768.

The previous prime is 400242002221. The next prime is 400242002243. The reversal of 400242002240 is 42200242004.

It can be written as a sum of positive squares in 2 ways, for example, as 188133857536 + 212108144704 = 433744^2 + 460552^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400242002243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 625377809 + ... + 625378448.

Almost surely, 2400242002240 is an apocalyptic number.

400242002240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400242002240 is an abundant number, since it is smaller than the sum of its proper divisors (552834266356).

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

400242002240 is a wasteful number, since it uses less digits than its factorization.

400242002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250756274 (or 1250756264 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 400242002240 its reverse (42200242004), we get a palindrome (442442244244).

The spelling of 400242002240 in words is "four hundred billion, two hundred forty-two million, two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1250756257 2501512514 5003025028 6253781285 10006050056 12507562570 20012100112 25015125140 40024200224 50030250280 80048400448 100060500560 200121001120 400242002240