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442021344120 = 233258391463453
BaseRepresentation
bin1100110111010101000…
…01100111001101111000
31120020221020010211100100
412123222201213031320
524220224431002440
6535021203235400
743635462301236
oct6335241471570
91506836124310
10442021344120
11160507586174
1271800078b60
13328b43cc0c5
1417572dc3956
15b770aac230
hex66ea867378

442021344120 has 96 divisors (see below), whose sum is σ = 1438282591200. Its totient is φ = 117731786496.

The previous prime is 442021344119. The next prime is 442021344131. The reversal of 442021344120 is 21443120244.

442021344120 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 213 + 441 + 2 + 0 = 666.

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, 429687 + ... + 1033766.

It is an arithmetic number, because the mean of its divisors is an integer number (14982110325).

Almost surely, 2442021344120 is an apocalyptic number.

442021344120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442021344120 is an abundant number, since it is smaller than the sum of its proper divisors (996261247080).

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

442021344120 is a wasteful number, since it uses less digits than its factorization.

442021344120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464309 (or 1464302 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 442021344120 its reverse (21443120244), we get a palindrome (463464464364).

The spelling of 442021344120 in words is "four hundred forty-two billion, twenty-one million, three hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 839 1678 2517 3356 4195 5034 6712 7551 8390 10068 12585 15102 16780 20136 25170 30204 33560 37755 50340 60408 75510 100680 151020 302040 1463453 2926906 4390359 5853812 7317265 8780718 11707624 13171077 14634530 17561436 21951795 26342154 29269060 35122872 43903590 52684308 58538120 65855385 87807180 105368616 131710770 175614360 263421540 526843080 1227837067 2455674134 3683511201 4911348268 6139185335 7367022402 9822696536 11050533603 12278370670 14734044804 18417556005 22101067206 24556741340 29468089608 36835112010 44202134412 49113482680 55252668015 73670224020 88404268824 110505336030 147340448040 221010672060 442021344120