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144242131020042 = 231119293966400787
BaseRepresentation
bin100000110010111111111100…
…111110110010100100001010
3200220201102011010011111110110
4200302333330332302210022
5122401230341020120132
61230435530433055150
742245102321021346
oct4062777476624412
9626642133144413
10144242131020042
1141a61820637a40
12142171119b74b6
136263c89239a53
1427894dbd1c626
1511a21075461cc
hex832ffcfb290a

144242131020042 has 64 divisors (see below), whose sum is σ = 342697028083200. Its totient is φ = 39981319922880.

The previous prime is 144242131020037. The next prime is 144242131020083. The reversal of 144242131020042 is 240020131242441.

It is a super-2 number, since 2×1442421310200422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144242131019991 and 144242131020009.

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, 1983164028 + ... + 1983236759.

It is an arithmetic number, because the mean of its divisors is an integer number (5354641063800).

Almost surely, 2144242131020042 is an apocalyptic number.

144242131020042 is an abundant number, since it is smaller than the sum of its proper divisors (198454897063158).

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

144242131020042 is a wasteful number, since it uses less digits than its factorization.

144242131020042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966400851.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 144242131020042 its reverse (240020131242441), we get a palindrome (384262262262483).

The spelling of 144242131020042 in words is "one hundred forty-four trillion, two hundred forty-two billion, one hundred thirty-one million, twenty thousand, forty-two".

Divisors: 1 2 3 6 11 19 22 29 33 38 57 58 66 87 114 174 209 319 418 551 627 638 957 1102 1254 1653 1914 3306 6061 12122 18183 36366 3966400787 7932801574 11899202361 23798404722 43630408657 75361614953 87260817314 115025622823 130891225971 150723229906 226084844859 230051245646 261782451942 345076868469 452169689718 690153736938 828977764483 1265281851053 1657955528966 2185486833637 2486933293449 2530563702106 3795845553159 4370973667274 4973866586898 6556460500911 7591691106318 13112921001822 24040355170007 48080710340014 72121065510021 144242131020042