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42322330333120 = 265374639770537
BaseRepresentation
bin10011001111101111011110…
…11101110010111111000000
312112211222022222011100100111
421213313233131302333000
521021402113031124440
6230002335443001104
711625454541136235
oct1147675735627700
9175758288140314
1042322330333120
111253788814aa12
1248b6426969194
131a7cc9506aca6
14a645a9a7978c
154d5d7a9d84ea
hex267def772fc0

42322330333120 has 112 divisors (see below), whose sum is σ = 103526280241920. Its totient is φ = 16467821420544.

The previous prime is 42322330333117. The next prime is 42322330333123. The reversal of 42322330333120 is 2133303322324.

It is an interprime number because it is at equal distance from previous prime (42322330333117) and next prime (42322330333123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42322330333123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54540492 + ... + 55311028.

Almost surely, 242322330333120 is an apocalyptic number.

42322330333120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42322330333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51763140120960).

42322330333120 is an abundant number, since it is smaller than the sum of its proper divisors (61203949908800).

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

42322330333120 is a wasteful number, since it uses less digits than its factorization.

42322330333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775230 (or 775220 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 31.

Adding to 42322330333120 its reverse (2133303322324), we get a palindrome (44455633655444).

The spelling of 42322330333120 in words is "forty-two trillion, three hundred twenty-two billion, three hundred thirty million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 1184 1480 2368 2960 4639 5920 9278 11840 18556 23195 37112 46390 74224 92780 148448 171643 185560 296896 343286 371120 686572 742240 770537 858215 1373144 1484480 1541074 1716430 2746288 3082148 3432860 3852685 5492576 6164296 6865720 7705370 10985152 12328592 13731440 15410740 24657184 27462880 28509869 30821480 49314368 54925760 57019738 61642960 114039476 123285920 142549345 228078952 246571840 285098690 456157904 570197380 912315808 1140394760 1824631616 2280789520 3574521143 4561579040 7149042286 9123158080 14298084572 17872605715 28596169144 35745211430 57192338288 71490422860 114384676576 132257282291 142980845720 228769353152 264514564582 285961691440 529029129164 571923382880 661286411455 1058058258328 1143846765760 1322572822910 2116116516656 2645145645820 4232233033312 5290291291640 8464466066624 10580582583280 21161165166560 42322330333120