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144431143140 = 223535315534391
BaseRepresentation
bin1000011010000011000…
…1000101100011100100
3111210210122200021101210
42012200301011203210
54331243333040030
6150203432351420
713302065313654
oct2064061054344
9453718607353
10144431143140
1156286684609
1223ba9845570
131080990a39b
146dc1d32364
153b54c5cbb0
hex21a0c458e4

144431143140 has 96 divisors (see below), whose sum is σ = 405906391296. Its totient is φ = 38372392960.

The previous prime is 144431143139. The next prime is 144431143193. The reversal of 144431143140 is 41341134441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 144431143098 and 144431143107.

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, 32890345 + ... + 32894735.

It is an arithmetic number, because the mean of its divisors is an integer number (4228191576).

Almost surely, 2144431143140 is an apocalyptic number.

144431143140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144431143140 is an abundant number, since it is smaller than the sum of its proper divisors (261475248156).

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

144431143140 is a wasteful number, since it uses less digits than its factorization.

144431143140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6309 (or 6307 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 144431143140 its reverse (41341134441), we get a palindrome (185772277581).

The spelling of 144431143140 in words is "one hundred forty-four billion, four hundred thirty-one million, one hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 353 706 1059 1412 1553 1765 2118 3106 3530 4236 4391 4659 5295 6212 7060 7765 8782 9318 10590 13173 15530 17564 18636 21180 21955 23295 26346 31060 43910 46590 52692 65865 87820 93180 131730 263460 548209 1096418 1550023 1644627 2192836 2741045 3100046 3289254 4650069 5482090 6200092 6578508 6819223 7750115 8223135 9300138 10964180 13638446 15500230 16446270 18600276 20457669 23250345 27276892 31000460 32892540 34096115 40915338 46500690 68192230 81830676 93001380 102288345 136384460 204576690 409153380 2407185719 4814371438 7221557157 9628742876 12035928595 14443114314 24071857190 28886228628 36107785785 48143714380 72215571570 144431143140