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421445059344 = 243660112
BaseRepresentation
bin1100010001000000001…
…01010100001100010000
31111021211020020021000000
412020200011110030100
523401104413344334
6521335330130000
742306541616631
oct6104005241420
91437736207000
10421445059344
11152808826941
1269819120900
133098551007a
1416580369888
15ae6945a299
hex6220154310

421445059344 has 105 divisors (see below), whose sum is σ = 1224468360439. Its totient is φ = 140458315680.

The previous prime is 421445059283. The next prime is 421445059367. The reversal of 421445059344 is 443950544124.

The square root of 421445059344 is 649188.

It is a perfect power (a square), and thus also a powerful number.

421445059344 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 4 + 50 + 593 + 4 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 421445059344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 70109299 + ... + 70115309.

Almost surely, 2421445059344 is an apocalyptic number.

421445059344 is the 649188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421445059344

421445059344 is an abundant number, since it is smaller than the sum of its proper divisors (803023301095).

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

421445059344 is an frugal number, since it uses more digits than its factorization.

421445059344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12048 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 421445059344 in words is "four hundred twenty-one billion, four hundred forty-five million, fifty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 6011 11664 12022 18033 24044 36066 48088 54099 72132 96176 108198 144264 162297 216396 288528 324594 432792 486891 649188 865584 973782 1298376 1460673 1947564 2596752 2921346 3895128 4382019 5842692 7790256 8764038 11685384 17528076 23370768 35056152 36132121 70112304 72264242 108396363 144528484 216792726 289056968 325189089 433585452 578113936 650378178 867170904 975567267 1300756356 1734341808 1951134534 2601512712 2926701801 3902269068 5203025424 5853403602 7804538136 8780105403 11706807204 15609076272 17560210806 23413614408 26340316209 35120421612 46827228816 52680632418 70240843224 105361264836 140481686448 210722529672 421445059344