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422314251380 = 225743113620813
BaseRepresentation
bin1100010010100111110…
…01000001010001110100
31111101001210202210022122
412021103321001101310
523404344422021010
6522001500015112
742340224623330
oct6112371012164
91441053683278
10422314251380
1115311442676a
1269a20231498
1330a9360aa98
14166239867c0
15aeba8ed855
hex6253e41474

422314251380 has 96 divisors (see below), whose sum is σ = 1046305016064. Its totient is φ = 140174383104.

The previous prime is 422314251349. The next prime is 422314251383. The reversal of 422314251380 is 83152413224.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 422314251380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422314251383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369854 + ... + 990666.

It is an arithmetic number, because the mean of its divisors is an integer number (10899010584).

Almost surely, 2422314251380 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 422314251380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523152508032).

422314251380 is an abundant number, since it is smaller than the sum of its proper divisors (623990764684).

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

422314251380 is a wasteful number, since it uses less digits than its factorization.

422314251380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620985 (or 620983 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 422314251380 in words is "four hundred twenty-two billion, three hundred fourteen million, two hundred fifty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 113 140 172 215 226 301 430 452 565 602 791 860 1130 1204 1505 1582 2260 3010 3164 3955 4859 6020 7910 9718 15820 19436 24295 34013 48590 68026 97180 136052 170065 340130 620813 680260 1241626 2483252 3104065 4345691 6208130 8691382 12416260 17382764 21728455 26694959 43456910 53389918 70151869 86913820 106779836 133474795 140303738 186864713 266949590 280607476 350759345 373729426 491063083 533899180 701518690 747458852 934323565 982126166 1403037380 1868647130 1964252332 2455315415 3016530367 3737294260 4910630830 6033060734 9821261660 12066121468 15082651835 21115712569 30165303670 42231425138 60330607340 84462850276 105578562845 211157125690 422314251380