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144102013140 = 22357399732999
BaseRepresentation
bin1000011000110100100…
…1100011100011010100
3111202221201100201220210
42012031021203203110
54330110103410030
6150111034125420
713260660621201
oct2061511434324
9452851321823
10144102013140
1156127914348
1223b17580870
13107866805c7
146d90338ca8
153b35de7bb0
hex218d2638d4

144102013140 has 96 divisors (see below), whose sum is σ = 409435488000. Its totient is φ = 37861641216.

The previous prime is 144102013129. The next prime is 144102013141. The reversal of 144102013140 is 41310201441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144102013141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4350361 + ... + 4383359.

It is an arithmetic number, because the mean of its divisors is an integer number (4264953000).

Almost surely, 2144102013140 is an apocalyptic number.

144102013140 is a gapful number since it is divisible by the number (10) 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 144102013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204717744000).

144102013140 is an abundant number, since it is smaller than the sum of its proper divisors (265333474860).

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

144102013140 is a wasteful number, since it uses less digits than its factorization.

144102013140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34081 (or 34079 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 144102013140 its reverse (41310201441), we get a palindrome (185412214581).

The spelling of 144102013140 in words is "one hundred forty-four billion, one hundred two million, thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 997 1095 1460 1994 2190 2991 3988 4380 4985 5982 9970 11964 14955 19940 29910 32999 59820 65998 72781 98997 131996 145562 164995 197994 218343 291124 329990 363905 395988 436686 494985 659980 727810 873372 989970 1091715 1455620 1979940 2183430 2408927 4366860 4817854 7226781 9635708 12044635 14453562 24089270 28907124 32900003 36133905 48178540 65800006 72267810 98700009 131600012 144535620 164500015 197400018 329000030 394800036 493500045 658000060 987000090 1974000180 2401700219 4803400438 7205100657 9606800876 12008501095 14410201314 24017002190 28820402628 36025503285 48034004380 72051006570 144102013140