Search a number
-
+
151232407344 = 24335311358453
BaseRepresentation
bin1000110011011000100…
…1110110011100110000
3112110100122110021221000
42030312021312130300
54434210444013334
6153250351202000
713632452152404
oct2146611663460
9473318407830
10151232407344
115915682a017
1225387516300
13113519ac585
147469319104
153e01dbc299
hex2336276730

151232407344 has 160 divisors (see below), whose sum is σ = 446205101760. Its totient is φ = 49021120512.

The previous prime is 151232407331. The next prime is 151232407363. The reversal of 151232407344 is 443704232151.

151232407344 is a `hidden beast` number, since 1 + 51 + 23 + 240 + 7 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 151232407299 and 151232407308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2558022 + ... + 2616474.

It is an arithmetic number, because the mean of its divisors is an integer number (2788781886).

Almost surely, 2151232407344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151232407344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223102550880).

151232407344 is an abundant number, since it is smaller than the sum of its proper divisors (294972694416).

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

151232407344 is a wasteful number, since it uses less digits than its factorization.

151232407344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58636 (or 58624 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 151232407344 its reverse (443704232151), we get a palindrome (594936639495).

The spelling of 151232407344 in words is "one hundred fifty-one billion, two hundred thirty-two million, four hundred seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 113 144 159 212 216 226 318 339 424 432 452 477 636 678 848 904 954 1017 1272 1356 1431 1808 1908 2034 2544 2712 2862 3051 3816 4068 5424 5724 5989 6102 7632 8136 11448 11978 12204 16272 17967 22896 23956 24408 35934 47912 48816 53901 58453 71868 95824 107802 116906 143736 161703 175359 215604 233812 287472 323406 350718 431208 467624 526077 646812 701436 862416 935248 1052154 1293624 1402872 1578231 2104308 2587248 2805744 3098009 3156462 4208616 6196018 6312924 6605189 8417232 9294027 12392036 12625848 13210378 18588054 19815567 24784072 25251696 26420756 27882081 37176108 39631134 49568144 52841512 55764162 59446701 74352216 79262268 83646243 105683024 111528324 118893402 148704432 158524536 167292486 178340103 223056648 237786804 317049072 334584972 350075017 356680206 446113296 475573608 669169944 700150034 713360412 951147216 1050225051 1338339888 1400300068 1426720824 2100450102 2800600136 2853441648 3150675153 4200900204 5601200272 6301350306 8401800408 9452025459 12602700612 16803600816 18904050918 25205401224 37808101836 50410802448 75616203672 151232407344