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424416614424 = 2331110091593299
BaseRepresentation
bin1100010110100010011…
…00111001100000011000
31111120111022201220020120
412023101030321200120
523423201123130144
6522550240553240
742443303461545
oct6132114714030
91446438656216
10424416614424
11153aa3129190
126a308322820
133103a04539a
1416782c89bcc
15b090280e19
hex62d1339818

424416614424 has 64 divisors (see below), whose sum is σ = 1158647760000. Its totient is φ = 128483550720.

The previous prime is 424416614407. The next prime is 424416614429.

424416614424 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424416614429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530274 + ... + 1063025.

It is an arithmetic number, because the mean of its divisors is an integer number (18103871250).

Almost surely, 2424416614424 is an apocalyptic number.

424416614424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424416614424 is an abundant number, since it is smaller than the sum of its proper divisors (734231145576).

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

424416614424 is a wasteful number, since it uses less digits than its factorization.

424416614424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594328 (or 1594324 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

The spelling of 424416614424 in words is "four hundred twenty-four billion, four hundred sixteen million, six hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1009 2018 3027 4036 6054 8072 11099 12108 22198 24216 33297 44396 66594 88792 133188 266376 1593299 3186598 4779897 6373196 9559794 12746392 17526289 19119588 35052578 38239176 52578867 70105156 105157734 140210312 210315468 420630936 1607638691 3215277382 4822916073 6430554764 9645832146 12861109528 17684025601 19291664292 35368051202 38583328584 53052076803 70736102404 106104153606 141472204808 212208307212 424416614424