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424233374224 = 2411211321312
BaseRepresentation
bin1100010110001100100…
…01111001001000010000
31111120000112221022221111
412023012101321020100
523422312220433344
6522520133303104
742435620116552
oct6130621711020
91446015838844
10424233374224
11153a09753100
126a276a94a94
133100b0a872a
14167667cb4d2
15b07e137834
hex62c6479210

424233374224 has 135 divisors (see below), whose sum is σ = 918545519437. Its totient is φ = 189667878400.

The previous prime is 424233374203. The next prime is 424233374233. The reversal of 424233374224 is 422473332424.

The square root of 424233374224 is 651332.

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

It can be written as a sum of positive squares in only one way, i.e., 7475331600 + 416758042624 = 86460^2 + 645568^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3238422639 + ... + 3238422769.

Almost surely, 2424233374224 is an apocalyptic number.

424233374224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

424233374224 is the 651332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424233374224

424233374224 is an abundant number, since it is smaller than the sum of its proper divisors (494312145213).

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

424233374224 is a wasteful number, since it uses less digits than its factorization.

424233374224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 257 counting only the distinct ones).

The product of its digits is 774144, while the sum is 40.

The spelling of 424233374224 in words is "four hundred twenty-four billion, two hundred thirty-three million, three hundred seventy-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 113 121 131 176 226 242 262 452 484 524 904 968 1048 1243 1441 1808 1936 2096 2486 2882 4972 5764 9944 11528 12769 13673 14803 15851 17161 19888 23056 25538 27346 29606 31702 34322 51076 54692 59212 63404 68644 102152 109384 118424 126808 137288 140459 162833 188771 204304 218768 236848 253616 274576 280918 325666 377542 561836 651332 755084 1123672 1302664 1510168 1545049 1672739 1791163 1939193 2076481 2247344 2605328 3020336 3090098 3345478 3582326 3878386 4152962 6180196 6690956 7164652 7756772 8305924 12360392 13381912 14329304 15513544 16611848 18400129 21331123 24720784 26763824 28658608 31027088 33223696 36800258 42662246 73600516 85324492 147201032 170648984 202401419 219128809 234642353 294402064 341297968 404802838 438257618 469284706 809605676 876515236 938569412 1619211352 1753030472 1877138824 2410416899 3238422704 3506060944 3754277648 4820833798 9641667596 19283335192 26514585889 38566670384 53029171778 106058343556 212116687112 424233374224