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442323111422352 = 2431731115591118003
BaseRepresentation
bin110010010010010100101111…
…1111011101010100110010000
32011000010200021011011220111010
41210210221133323222212100
5430434010213011003402
64204424233203250520
7162111535021203636
oct14444513773524620
92130120234156433
10442323111422352
11118a351a60704a6
1241739223079a40
1315ca6b7637a204
147b327a4d29356
153620c8c4a5a6c
hex1924a5feea990

442323111422352 has 160 divisors (see below), whose sum is σ = 1214553752156160. Its totient is φ = 138232987125760.

The previous prime is 442323111422317. The next prime is 442323111422363. The reversal of 442323111422352 is 253224111323244.

It is a self number, because there is not a number n which added to its sum of digits gives 442323111422352.

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, 395077783 + ... + 396195785.

It is an arithmetic number, because the mean of its divisors is an integer number (7590960950976).

Almost surely, 2442323111422352 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 442323111422352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607276876078080).

442323111422352 is an abundant number, since it is smaller than the sum of its proper divisors (772230640733808).

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

442323111422352 is a wasteful number, since it uses less digits than its factorization.

442323111422352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119901 (or 1119895 counting only the distinct ones).

The product of its digits is 276480, while the sum is 39.

Adding to 442323111422352 its reverse (253224111323244), we get a palindrome (695547222745596).

The spelling of 442323111422352 in words is "four hundred forty-two trillion, three hundred twenty-three billion, one hundred eleven million, four hundred twenty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 311 408 622 816 933 1244 1559 1866 2488 3118 3732 4677 4976 5287 6236 7464 9354 10574 12472 14928 15861 18708 21148 24944 26503 31722 37416 42296 53006 63444 74832 79509 84592 106012 126888 159018 212024 253776 318036 424048 484849 636072 969698 1118003 1272144 1454547 1939396 2236006 2909094 3354009 3878792 4472012 5818188 6708018 7757584 8242433 8944024 11636376 13416036 16484866 17888048 19006051 23272752 24727299 26832072 32969732 38012102 49454598 53664144 57018153 65939464 76024204 98909196 114036306 131878928 152048408 197818392 228072612 304096816 347698933 395636784 456145224 695397866 912290448 1043096799 1390795732 1742966677 2086193598 2781591464 3485933354 4172387196 5228900031 5563182928 5910881861 6971866708 8344774392 10457800062 11821763722 13943733416 16689548784 17732645583 20915600124 23643527444 27887466832 29630433509 35465291166 41831200248 47287054888 59260867018 70930582332 83662400496 88891300527 94574109776 118521734036 141861164664 177782601054 237043468072 283722329328 355565202108 474086936144 542062636547 711130404216 1084125273094 1422260808432 1626187909641 2168250546188 3252375819282 4336501092376 6504751638564 8673002184752 9215064821299 13009503277128 18430129642598 26019006554256 27645194463897 36860259285196 55290388927794 73720518570392 110580777855588 147441037140784 221161555711176 442323111422352