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144175030160 = 24571063242197
BaseRepresentation
bin1000011001000110000…
…0000101111110010000
3111210010210202101102212
42012101200011332100
54330232301431120
6150122203131252
713262535351620
oct2062140057620
9453123671385
10144175030160
1156165056097
1223b37b13b28
1310798837445
146d99d04880
153b3c51c6c5
hex2191805f90

144175030160 has 80 divisors (see below), whose sum is σ = 383455623936. Its totient is φ = 49384733184.

The previous prime is 144175030147. The next prime is 144175030183. The reversal of 144175030160 is 61030571441.

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

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, 474182 + ... + 716378.

Almost surely, 2144175030160 is an apocalyptic number.

144175030160 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 144175030160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191727811968).

144175030160 is an abundant number, since it is smaller than the sum of its proper divisors (239280593776).

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

144175030160 is a wasteful number, since it uses less digits than its factorization.

144175030160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243280 (or 243274 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 144175030160 in words is "one hundred forty-four billion, one hundred seventy-five million, thirty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1063 2126 4252 5315 7441 8504 10630 14882 17008 21260 29764 37205 42520 59528 74410 85040 119056 148820 242197 297640 484394 595280 968788 1210985 1695379 1937576 2421970 3390758 3875152 4843940 6781516 8476895 9687880 13563032 16953790 19375760 27126064 33907580 67815160 135630320 257455411 514910822 1029821644 1287277055 1802187877 2059643288 2574554110 3604375754 4119286576 5149108220 7208751508 9010939385 10298216440 14417503016 18021878770 20596432880 28835006032 36043757540 72087515080 144175030160