Search a number
-
+
144073019904 = 293118527049
BaseRepresentation
bin1000011000101101101…
…0111101001000000000
3111202212200210201200020
42012023122331020000
54330030143114104
6150104120453440
713260156314622
oct2061332751000
9452780721606
10144073019904
11561125112a0
1223b0991a280
131078066b948
146d8a54cc12
153b335bc2d9
hex218b6bd200

144073019904 has 80 divisors (see below), whose sum is σ = 418712263200. Its totient is φ = 43658485760.

The previous prime is 144073019897. The next prime is 144073019929. The reversal of 144073019904 is 409910370441.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 4246629 + ... + 4280420.

It is an arithmetic number, because the mean of its divisors is an integer number (5233903290).

Almost surely, 2144073019904 is an apocalyptic number.

It is an amenable number.

144073019904 is an abundant number, since it is smaller than the sum of its proper divisors (274639243296).

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

144073019904 is an equidigital number, since it uses as much as digits as its factorization.

144073019904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8527081 (or 8527065 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 144073019904 in words is "one hundred forty-four billion, seventy-three million, nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8448 16896 8527049 17054098 25581147 34108196 51162294 68216392 93797539 102324588 136432784 187595078 204649176 272865568 281392617 375190156 409298352 545731136 562785234 750380312 818596704 1091462272 1125570468 1500760624 1637193408 2182924544 2251140936 3001521248 3274386816 4365849088 4502281872 6003042496 6548773632 9004563744 12006084992 13097547264 18009127488 24012169984 36018254976 48024339968 72036509952 144073019904