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144813342060 = 223254431816069
BaseRepresentation
bin1000011011011110001…
…1000011110101101100
3111211210021211222202100
42012313203003311230
54333034203421220
6150305404255100
713314416045352
oct2066743036554
9454707758670
10144813342060
11564623a1292
1224095841490
131086ab583aa
14701a9c17d2
153b785a6d90
hex21b78c3d6c

144813342060 has 72 divisors (see below), whose sum is σ = 440258953680. Its totient is φ = 38529698688.

The previous prime is 144813342013. The next prime is 144813342083. The reversal of 144813342060 is 60243318441.

144813342060 is a `hidden beast` number, since 1 + 4 + 48 + 133 + 420 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 828295 + ... + 987774.

It is an arithmetic number, because the mean of its divisors is an integer number (6114707690).

Almost surely, 2144813342060 is an apocalyptic number.

144813342060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144813342060 is an abundant number, since it is smaller than the sum of its proper divisors (295445611620).

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

144813342060 is a wasteful number, since it uses less digits than its factorization.

144813342060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816527 (or 1816522 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 144813342060 in words is "one hundred forty-four billion, eight hundred thirteen million, three hundred forty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 443 886 1329 1772 2215 2658 3987 4430 5316 6645 7974 8860 13290 15948 19935 26580 39870 79740 1816069 3632138 5448207 7264276 9080345 10896414 16344621 18160690 21792828 27241035 32689242 36321380 54482070 65378484 81723105 108964140 163446210 326892420 804518567 1609037134 2413555701 3218074268 4022592835 4827111402 7240667103 8045185670 9654222804 12067778505 14481334206 16090371340 24135557010 28962668412 36203335515 48271114020 72406671030 144813342060