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4219042320 = 2432517344693
BaseRepresentation
bin1111101101111001…
…0111101000010000
3101220000212120000200
43323132113220100
532120033323240
61534352415200
7206360160633
oct37336275020
911800776020
104219042320
1118755a2a39
12998b47500
1352311525c
142c0491c1a
1519a5e1930
hexfb797a10

4219042320 has 120 divisors (see below), whose sum is σ = 15002461656. Its totient is φ = 1058893824.

The previous prime is 4219042319. The next prime is 4219042379. The reversal of 4219042320 is 232409124.

4219042320 is a `hidden beast` number, since 4 + 219 + 0 + 423 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1692170496 + 2526871824 = 41136^2 + 50268^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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, 160107 + ... + 184586.

Almost surely, 24219042320 is an apocalyptic number.

4219042320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4219042320 is an abundant number, since it is smaller than the sum of its proper divisors (10783419336).

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

4219042320 is a wasteful number, since it uses less digits than its factorization.

4219042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344729 (or 344720 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4219042320 is about 64954.1555252626. The cubic root of 4219042320 is about 1615.8633372159.

The spelling of 4219042320 in words is "four billion, two hundred nineteen million, forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 344693 689386 1034079 1378772 1723465 2068158 2757544 3102237 3446930 4136316 5170395 5515088 5859781 6204474 6893860 8272632 10340790 11719562 12408948 13787720 15511185 16545264 17579343 20681580 23439124 24817896 27575440 29298905 31022370 35158686 41363160 46878248 49635792 52738029 58597810 62044740 70317372 82726320 87896715 93756496 105476058 117195620 124089480 140634744 175793430 210952116 234391240 248178960 263690145 281269488 351586860 421904232 468782480 527380290 703173720 843808464 1054760580 1406347440 2109521160 4219042320