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144680087040 = 293518838553
BaseRepresentation
bin1000011010111110011…
…0101110111000000000
3111211110000002221020020
42012233212232320000
54332301100241130
6150244244213440
713311210306636
oct2065746567000
9454400087206
10144680087040
11563a4156875
122405909a280
1310849370178
147007015356
153b6ba33e10
hex21af9aee00

144680087040 has 80 divisors (see below), whose sum is σ = 462524177808. Its totient is φ = 38581354496.

The previous prime is 144680087023. The next prime is 144680087117. The reversal of 144680087040 is 40780086441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 144680086983 and 144680087001.

It is a congruent number.

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, 9411597 + ... + 9426956.

Almost surely, 2144680087040 is an apocalyptic number.

144680087040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144680087040 is an abundant number, since it is smaller than the sum of its proper divisors (317844090768).

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

144680087040 is an equidigital number, since it uses as much as digits as its factorization.

144680087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18838579 (or 18838563 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 144680087040 in words is "one hundred forty-four billion, six hundred eighty million, eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 18838553 37677106 56515659 75354212 94192765 113031318 150708424 188385530 226062636 282578295 301416848 376771060 452125272 565156590 602833696 753542120 904250544 1130313180 1205667392 1507084240 1808501088 2260626360 2411334784 3014168480 3617002176 4521252720 4822669568 6028336960 7234004352 9042505440 9645339136 12056673920 14468008704 18085010880 24113347840 28936017408 36170021760 48226695680 72340043520 144680087040