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144873105520 = 245111312663733
BaseRepresentation
bin1000011011101100011…
…1000010100001110000
3111211221110022021210211
42012323013002201300
54333200003334040
6150315341233504
713316043036013
oct2067307024160
9454843267724
10144873105520
1156493100480
12240b1862894
131087a3517a0
1470248db37a
153b7d95e8ea
hex21bb1c2870

144873105520 has 80 divisors (see below), whose sum is σ = 395716360032. Its totient is φ = 48628730880.

The previous prime is 144873105439. The next prime is 144873105557. The reversal of 144873105520 is 25501378441.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 6320427 + ... + 6343306.

Almost surely, 2144873105520 is an apocalyptic number.

144873105520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144873105520 is an abundant number, since it is smaller than the sum of its proper divisors (250843254512).

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

144873105520 is a wasteful number, since it uses less digits than its factorization.

144873105520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12663770 (or 12663764 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 144873105520 in words is "one hundred forty-four billion, eight hundred seventy-three million, one hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 12663733 25327466 50654932 63318665 101309864 126637330 139301063 164628529 202619728 253274660 278602126 329257058 506549320 557204252 658514116 696505315 823142645 1013098640 1114408504 1317028232 1393010630 1646285290 1810913819 2228817008 2634056464 2786021260 3292570580 3621827638 5572042520 6585141160 7243655276 9054569095 11144085040 13170282320 14487310552 18109138190 28974621104 36218276380 72436552760 144873105520