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1474040040400 = 24523685100101
BaseRepresentation
bin10101011100110011101…
…000100000101111010000
312012220202101101112220101
4111130303220200233100
5143122313222243100
63045055321422144
7211332041420104
oct25346350405720
95186671345811
101474040040400
115191561a1524
121b981903a954
13a9003051c75
14514b59d9904
15285232a486a
hex15733a20bd0

1474040040400 has 30 divisors (see below), whose sum is σ = 3541381198022. Its totient is φ = 589616016000.

The previous prime is 1474040040391. The next prime is 1474040040401. The reversal of 1474040040400 is 40400404741.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5222085696 + 1468817954704 = 72264^2 + 1211948^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1474040040401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1842549651 + ... + 1842550450.

Almost surely, 21474040040400 is an apocalyptic number.

1474040040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1474040040400 is an abundant number, since it is smaller than the sum of its proper divisors (2067341157622).

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

1474040040400 is a wasteful number, since it uses less digits than its factorization.

1474040040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685100119 (or 3685100108 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

The spelling of 1474040040400 in words is "one trillion, four hundred seventy-four billion, forty million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 3685100101 7370200202 14740400404 18425500505 29480800808 36851001010 58961601616 73702002020 92127502525 147404004040 184255005050 294808008080 368510010100 737020020200 1474040040400