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424414244304 = 2432137199108107
BaseRepresentation
bin1100010110100010000…
…11110110110111010000
31111120111011021111001100
412023101003312313100
523423200021304204
6522550114104400
742443244360561
oct6132103666720
91446434244040
10424414244304
11153aa185a506
126a30757b100
13310396c564b
1416782830168
15b08ee63a39
hex62d10f6dd0

424414244304 has 120 divisors (see below), whose sum is σ = 1202463662400. Its totient is φ = 139731761664.

The previous prime is 424414244297. The next prime is 424414244321. The reversal of 424414244304 is 403442414424.

It is a happy number.

424414244304 is a `hidden beast` number, since 42 + 44 + 142 + 4 + 430 + 4 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3871819 + ... + 3979925.

It is an arithmetic number, because the mean of its divisors is an integer number (10020530520).

Almost surely, 2424414244304 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 424414244304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601231831200).

424414244304 is an abundant number, since it is smaller than the sum of its proper divisors (778049418096).

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

424414244304 is a wasteful number, since it uses less digits than its factorization.

424414244304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108457 (or 108448 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 424414244304 its reverse (403442414424), we get a palindrome (827856658728).

The spelling of 424414244304 in words is "four hundred twenty-four billion, four hundred fourteen million, two hundred forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 199 274 398 411 548 597 796 822 1096 1194 1233 1592 1644 1791 2192 2388 2466 3184 3288 3582 4776 4932 6576 7164 9552 9864 14328 19728 27263 28656 54526 81789 108107 109052 163578 216214 218104 245367 324321 327156 432428 436208 490734 648642 654312 864856 972963 981468 1297284 1308624 1729712 1945926 1962936 2594568 3891852 3925872 5189136 7783704 14810659 15567408 21513293 29621318 43026586 44431977 59242636 64539879 86053172 88863954 118485272 129079758 133295931 172106344 177727908 193619637 236970544 258159516 266591862 344212688 355455816 387239274 516319032 533183724 710911632 774478548 1032638064 1066367448 1548957096 2132734896 2947321141 3097914192 5894642282 8841963423 11789284564 17683926846 23578569128 26525890269 35367853692 47157138256 53051780538 70735707384 106103561076 141471414768 212207122152 424414244304