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42301141103136 = 2531312493357259
BaseRepresentation
bin10011001111001000000000…
…11111010011001000100000
312112202221122020212221020210
421213210000133103020200
521021030214110300021
6225544513112134120
711624104465511436
oct1147440037231040
9175687566787223
1042301141103136
11125298a44008a3
1248b22b2697340
131a7ac991a0096
14a63559868d56
154d553a65ce76
hex2679007d3220

42301141103136 has 48 divisors (see below), whose sum is σ = 111041374500000. Its totient is φ = 14100268735488.

The previous prime is 42301141103087. The next prime is 42301141103197. The reversal of 42301141103136 is 63130114110324.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×423011411031363 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10921275 + ... + 14278533.

It is an arithmetic number, because the mean of its divisors is an integer number (2313361968750).

Almost surely, 242301141103136 is an apocalyptic number.

It is an amenable number.

42301141103136 is an abundant number, since it is smaller than the sum of its proper divisors (68740233396864).

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

42301141103136 is a wasteful number, since it uses less digits than its factorization.

42301141103136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488521 (or 3488513 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 42301141103136 in words is "forty-two trillion, three hundred one billion, one hundred forty-one million, one hundred three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131249 262498 393747 524996 787494 1049992 1574988 2099984 3149976 3357259 4199968 6299952 6714518 10071777 12599904 13429036 20143554 26858072 40287108 53716144 80574216 107432288 161148432 322296864 440636886491 881273772982 1321910659473 1762547545964 2643821318946 3525095091928 5287642637892 7050190183856 10575285275784 14100380367712 21150570551568 42301141103136