Search a number
-
+
150555542120 = 2351714911511291
BaseRepresentation
bin1000110000110111001…
…1110100001001101000
3112101121110210222101122
42030031303310021220
54431314204321440
6153055251434412
713606622664404
oct2141563641150
9471543728348
10150555542120
1158939751175
12252188b5a08
13112746b03c9
147403484104
153db27697b5
hex230dcf4268

150555542120 has 128 divisors (see below), whose sum is σ = 361677312000. Its totient is φ = 56206848000.

The previous prime is 150555542107. The next prime is 150555542143. The reversal of 150555542120 is 21245555051.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116618675 + ... + 116619965.

It is an arithmetic number, because the mean of its divisors is an integer number (2825604000).

Almost surely, 2150555542120 is an apocalyptic number.

150555542120 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 150555542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180838656000).

150555542120 is an abundant number, since it is smaller than the sum of its proper divisors (211121769880).

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

150555542120 is a wasteful number, since it uses less digits than its factorization.

150555542120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 35.

The spelling of 150555542120 in words is "one hundred fifty billion, five hundred fifty-five million, five hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 149 170 298 340 596 680 745 1151 1192 1291 1490 2302 2533 2582 2980 4604 5066 5164 5755 5960 6455 9208 10132 10328 11510 12665 12910 19567 20264 21947 23020 25330 25820 39134 43894 46040 50660 51640 78268 87788 97835 101320 109735 156536 171499 175576 192359 195670 219470 342998 384718 391340 438940 685996 769436 782680 857495 877880 961795 1371992 1485941 1538872 1714990 1923590 2915483 2971882 3270103 3429980 3847180 5830966 5943764 6540206 6859960 7429705 7694360 11661932 11887528 13080412 14577415 14859410 16350515 23323864 25260997 26160824 29154830 29718820 32701030 50521994 58309660 59437640 65402060 101043988 116619320 126304985 130804120 202087976 221405209 252609970 442810418 505219940 885620836 1010439880 1107026045 1771241672 2214052090 3763888553 4428104180 7527777106 8856208360 15055554212 18819442765 30111108424 37638885530 75277771060 150555542120