Search a number
-
+
150004602342 = 232716315534703
BaseRepresentation
bin1000101110110011111…
…0001001010111100110
3112100012002010100002200
42023230332021113212
54424202134233332
6152524451115330
713560153040110
oct2135476112746
9470162110080
10150004602342
1158686761a41
12250a42a2b46
13111b750123a
14739022c3b0
153d7e1dd17c
hex22ecf895e6

150004602342 has 96 divisors (see below), whose sum is σ = 374038898688. Its totient is φ = 42559043328.

The previous prime is 150004602337. The next prime is 150004602343. The reversal of 150004602342 is 243206400051.

150004602342 is a `hidden beast` number, since 1 + 50 + 0 + 0 + 4 + 602 + 3 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150004602343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31893163 + ... + 31897865.

It is an arithmetic number, because the mean of its divisors is an integer number (3896238528).

Almost surely, 2150004602342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150004602342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187019449344).

150004602342 is an abundant number, since it is smaller than the sum of its proper divisors (224034296346).

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

150004602342 is a wasteful number, since it uses less digits than its factorization.

150004602342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6434 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 150004602342 in words is "one hundred fifty billion, four million, six hundred two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 163 326 489 978 1141 1467 1553 2282 2934 3106 3423 4659 4703 6846 9318 9406 10269 10871 13977 14109 20538 21742 27954 28218 32613 32921 42327 65226 65842 84654 97839 98763 195678 197526 253139 296289 506278 592578 759417 766589 1518834 1533178 1771973 2278251 2299767 3543946 4556502 4599534 5315919 5366123 6899301 7303759 10631838 10732246 13798602 14607518 15947757 16098369 21911277 31895514 32196738 43822554 48295107 51126313 65733831 96590214 102252626 131467662 153378939 306757878 460136817 920273634 1190512717 2381025434 3571538151 7143076302 8333589019 10714614453 16667178038 21429228906 25000767057 50001534114 75002301171 150004602342