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421223343322124 = 227267233211375417
BaseRepresentation
bin101111111000110011011001…
…1101111111111010000001100
32001020102120002001000100210002
41133301212303233333100030
5420202310401342301444
64051511155454103432
7154503245056432100
oct13761466357772014
92036376061010702
10421223343322124
1111223a8a9043182
123b2abaa54aab78
1315106263364115
14760346632b900
1533a6ebc1c9d4e
hex17f19b3bff40c

421223343322124 has 72 divisors (see below), whose sum is σ = 870326691906672. Its totient is φ = 177822143009280.

The previous prime is 421223343322123. The next prime is 421223343322157.

421223343322124 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (421223343322123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305563664 + ... + 306939080.

It is an arithmetic number, because the mean of its divisors is an integer number (12087870720926).

Almost surely, 2421223343322124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421223343322124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435163345953336).

421223343322124 is an abundant number, since it is smaller than the sum of its proper divisors (449103348584548).

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

421223343322124 is a wasteful number, since it uses less digits than its factorization.

421223343322124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398823 (or 1398814 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

The spelling of 421223343322124 in words is "four hundred twenty-one trillion, two hundred twenty-three billion, three hundred forty-three million, three hundred twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 67 98 134 196 268 469 938 1876 3283 6566 13132 23321 46642 93284 163247 326494 652988 1142729 1375417 1562507 2285458 2750834 3125014 4570916 5501668 6250028 9627919 10937549 19255838 21875098 38511676 43750196 67395433 76562843 92152939 134790866 153125686 184305878 269581732 306251372 368611756 645070573 1290141146 2580282292 4515494011 9030988022 18061976044 32076099857 64152199714 128304399428 224532698999 449065397998 898130795996 1571728892993 2149098690419 3143457785986 4298197380838 6286915571972 8596394761676 15043690832933 30087381665866 60174763331732 105305835830531 210611671661062 421223343322124