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424226604240 = 24325589203617
BaseRepresentation
bin1100010110001011110…
…00000100010011010000
31111120000002012101021100
412023011320010103100
523422304002313430
6522515332224400
742435505432155
oct6130570042320
91446002171240
10424226604240
11153a0594977a
126a27476b100
133100987811a
141676594822c
15b07d74b960
hex62c5e044d0

424226604240 has 60 divisors (see below), whose sum is σ = 1424694348324. Its totient is φ = 113127094272.

The previous prime is 424226604223. The next prime is 424226604257. The reversal of 424226604240 is 42406622424.

424226604240 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 2 + 6 + 604 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (424226604223) and next prime (424226604257).

It can be written as a sum of positive squares in 2 ways, for example, as 321162490944 + 103064113296 = 566712^2 + 321036^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 424226604195 and 424226604204.

It is a congruent number.

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, 294601089 + ... + 294602528.

Almost surely, 2424226604240 is an apocalyptic number.

424226604240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424226604240 is an abundant number, since it is smaller than the sum of its proper divisors (1000467744084).

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

424226604240 is a wasteful number, since it uses less digits than its factorization.

424226604240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589203636 (or 589203627 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 424226604240 in words is "four hundred twenty-four billion, two hundred twenty-six million, six hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 589203617 1178407234 1767610851 2356814468 2946018085 3535221702 4713628936 5302832553 5892036170 7070443404 8838054255 9427257872 10605665106 11784072340 14140886808 17676108510 21211330212 23568144680 26514162765 28281773616 35352217020 42422660424 47136289360 53028325530 70704434040 84845320848 106056651060 141408868080 212113302120 424226604240