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144727933104 = 24321735809567
BaseRepresentation
bin1000011011001001110…
…1010000000010110000
3111211120100010202200200
42012302131100002300
54332400322324404
6150253113515200
713312331063556
oct2066235200260
9454510122620
10144727933104
1156419166277
1224071112b00
1310856253051
14700d50bbd6
153b70d35839
hex21b27500b0

144727933104 has 60 divisors (see below), whose sum is σ = 407378527296. Its totient is φ = 47963776896.

The previous prime is 144727933079. The next prime is 144727933109. The reversal of 144727933104 is 401339727441.

144727933104 is a `hidden beast` number, since 1 + 4 + 47 + 279 + 331 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 144727933104.

It is not an unprimeable number, because it can be changed into a prime (144727933109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2879872 + ... + 2929695.

Almost surely, 2144727933104 is an apocalyptic number.

It is an amenable number.

144727933104 is an abundant number, since it is smaller than the sum of its proper divisors (262650594192).

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

144727933104 is a wasteful number, since it uses less digits than its factorization.

144727933104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5809754 (or 5809745 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 144727933104 in words is "one hundred forty-four billion, seven hundred twenty-seven million, nine hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2768 3114 4152 6228 8304 12456 24912 5809567 11619134 17428701 23238268 34857402 46476536 52286103 69714804 92953072 104572206 139429608 209144412 278859216 418288824 836577648 1005055091 2010110182 3015165273 4020220364 6030330546 8040440728 9045495819 12060661092 16080881456 18090991638 24121322184 36181983276 48242644368 72363966552 144727933104