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424201424102424 = 233210158333529167
BaseRepresentation
bin110000001110011110001011…
…1001100100110010000011000
32001121222021000121101220111100
41200130330113030212100120
5421100104004032234144
64102111235520431400
7155231353511413443
oct14034742714462030
92047867017356440
10424201424102424
111131888a4aa7751
123b6b10b2778560
131529103a9b6627
1476a765c0b065a
1534096bc44a269
hex181cf17326418

424201424102424 has 48 divisors (see below), whose sum is σ = 1160253895151520. Its totient is φ = 140000469998400.

The previous prime is 424201424102387. The next prime is 424201424102473.

424201424102424 is a `hidden beast` number, since 4 + 2 + 4 + 201 + 4 + 24 + 1 + 0 + 2 + 424 = 666.

424201424102424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 29166757312 + ... + 29166771855.

It is an arithmetic number, because the mean of its divisors is an integer number (24171956148990).

Almost surely, 2424201424102424 is an apocalyptic number.

It is an amenable number.

424201424102424 is an abundant number, since it is smaller than the sum of its proper divisors (736052471049096).

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

424201424102424 is a wasteful number, since it uses less digits than its factorization.

424201424102424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58333529280 (or 58333529273 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The spelling of 424201424102424 in words is "four hundred twenty-four trillion, two hundred one billion, four hundred twenty-four million, one hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 58333529167 116667058334 175000587501 233334116668 350001175002 466668233336 525001762503 700002350004 1050003525006 1400004700008 2100007050012 4200014100024 5891686445867 11783372891734 17675059337601 23566745783468 35350118675202 47133491566936 53025178012803 70700237350404 106050356025606 141400474700808 212100712051212 424201424102424