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442431323220124 = 227541863112330137
BaseRepresentation
bin110010010011000111001000…
…1110110111010100010011100
32011000112000120121202210120001
41210212032101312322202130
5430442243322221020444
64204550051033504044
7162122415430254550
oct14446162166724234
92130460517683501
10442431323220124
11118a77085884827
12417561a2b72024
1315cb4130257c94
147b37b0c827860
1536239c25c58d4
hex1926391dba89c

442431323220124 has 96 divisors (see below), whose sum is σ = 888345273102336. Its totient is φ = 188869023889920.

The previous prime is 442431323220071. The next prime is 442431323220163. The reversal of 442431323220124 is 421022323134244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14680653984 + ... + 14680684120.

It is an arithmetic number, because the mean of its divisors is an integer number (9253596594816).

Almost surely, 2442431323220124 is an apocalyptic number.

It is an amenable number.

442431323220124 is an abundant number, since it is smaller than the sum of its proper divisors (445913949882212).

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

442431323220124 is a wasteful number, since it uses less digits than its factorization.

442431323220124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32675 (or 32673 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 442431323220124 its reverse (421022323134244), we get a palindrome (863453646354368).

The spelling of 442431323220124 in words is "four hundred forty-two trillion, four hundred thirty-one billion, three hundred twenty-three million, two hundred twenty thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 541 863 1082 1123 1726 2164 2246 3452 3787 4492 6041 7574 7861 12082 15148 15722 24164 30137 31444 60274 120548 210959 421918 466883 607543 843836 933766 969149 1215086 1867532 1938298 2430172 3268181 3876596 4252801 6536362 6784043 8505602 13072724 13568086 16304117 17011204 26008231 27136172 32608234 33843851 52016462 65216468 67687702 104032924 114128819 135375404 182057617 228257638 236906957 364115234 456515276 473813914 524309609 728230468 947627828 1048619218 2097238436 3670167263 7340334526 14070452971 14680669052 18309523391 28140905942 29207243413 36619046782 56281811884 58414486826 73238093564 98493170797 116828973652 128166663737 196986341594 204450703891 256333327474 393972683188 408901407782 512666654948 817802815564 15801118686433 31602237372866 63204474745732 110607830805031 221215661610062 442431323220124