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144122240140 = 225191187319519
BaseRepresentation
bin1000011000111001011…
…0101101110010001100
3111210000010102101010221
42012032112231302030
54330130243141030
6150113035441124
713261324554064
oct2061626556214
9453003371127
10144122240140
115613827a17a
1223b222b61a4
131078a913148
146d92cc23a4
153b37a90e7a
hex218e5adc8c

144122240140 has 48 divisors (see below), whose sum is σ = 318855398400. Its totient is φ = 54568562112.

The previous prime is 144122240117. The next prime is 144122240153. The reversal of 144122240140 is 41042221441.

It is a happy number.

It is a super-3 number, since 3×1441222401403 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291301 + ... + 610819.

It is an arithmetic number, because the mean of its divisors is an integer number (6642820800).

Almost surely, 2144122240140 is an apocalyptic number.

144122240140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144122240140 is an abundant number, since it is smaller than the sum of its proper divisors (174733158260).

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

144122240140 is a wasteful number, since it uses less digits than its factorization.

144122240140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320734 (or 320732 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 144122240140 its reverse (41042221441), we get a palindrome (185164461581).

The spelling of 144122240140 in words is "one hundred forty-four billion, one hundred twenty-two million, two hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 1187 2374 4748 5935 11870 22553 23740 45106 90212 112765 225530 319519 451060 639038 1278076 1597595 3195190 6070861 6390380 12141722 24283444 30354305 60708610 121417220 379269053 758538106 1517076212 1896345265 3792690530 7206112007 7585381060 14412224014 28824448028 36030560035 72061120070 144122240140