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424421334100 = 225253582113757
BaseRepresentation
bin1100010110100010111…
…10111001110001010100
31111120111122121200102101
412023101132321301110
523423203330142400
6522550530051444
742443361546541
oct6132136716124
91446448550371
10424421334100
11153aa5862145
126a309a19b84
133103b0086aa
1416783757bc8
15b0908b456a
hex62d17b9c54

424421334100 has 72 divisors (see below), whose sum is σ = 938600972568. Its totient is φ = 166524633600.

The previous prime is 424421334023. The next prime is 424421334133. The reversal of 424421334100 is 1433124424.

It can be written as a sum of positive squares in 12 ways, for example, as 98293536324 + 326127797776 = 313518^2 + 571076^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30844422 + ... + 30858178.

It is an arithmetic number, because the mean of its divisors is an integer number (13036124619).

Almost surely, 2424421334100 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 424421334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469300486284).

424421334100 is an abundant number, since it is smaller than the sum of its proper divisors (514179638468).

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

424421334100 is a wasteful number, since it uses less digits than its factorization.

424421334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19645 (or 19638 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 424421334100 its reverse (1433124424), we get a palindrome (425854458524).

The spelling of 424421334100 in words is "four hundred twenty-four billion, four hundred twenty-one million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 5821 11642 13757 23284 27514 29105 55028 58210 68785 116420 137570 145525 275140 291050 308513 343925 582100 617026 687850 729121 1234052 1375700 1458242 1542565 2916484 3085130 3645605 6170260 7291210 7712825 14582420 15425650 18228025 30851300 36456050 72912100 80079497 160158994 320317988 400397485 800794970 1601589940 2001987425 4003974850 4244213341 8007949700 8488426682 16976853364 21221066705 42442133410 84884266820 106105333525 212210667050 424421334100