Search a number
-
+
154016090424 = 23327421725861
BaseRepresentation
bin1000111101110000010…
…0110000100100111000
3112201112122110001020100
42033130010300210320
510010411104343144
6154430511155400
714061443111460
oct2173404604470
9481478401210
10154016090424
115a355082349
1225a23815b60
13116a6615921
147650cd2ba0
154016482269
hex23dc130938

154016090424 has 96 divisors (see below), whose sum is σ = 477849471840. Its totient is φ = 43900012800.

The previous prime is 154016090387. The next prime is 154016090453. The reversal of 154016090424 is 424090610451.

154016090424 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 1 + 609 + 0 + 42 + 4 = 666.

It is a super-2 number, since 2×1540160904242 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150747 + ... + 575114.

It is an arithmetic number, because the mean of its divisors is an integer number (4977598665).

Almost surely, 2154016090424 is an apocalyptic number.

154016090424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

154016090424 is an abundant number, since it is smaller than the sum of its proper divisors (323833381416).

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

154016090424 is a wasteful number, since it uses less digits than its factorization.

154016090424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726301 (or 726294 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 154016090424 in words is "one hundred fifty-four billion, sixteen million, ninety thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 421 504 842 1263 1684 2526 2947 3368 3789 5052 5894 7578 8841 10104 11788 15156 17682 23576 26523 30312 35364 53046 70728 106092 212184 725861 1451722 2177583 2903444 4355166 5081027 5806888 6532749 8710332 10162054 13065498 15243081 17420664 20324108 26130996 30486162 40648216 45729243 52261992 60972324 91458486 121944648 182916972 305587481 365833944 611174962 916762443 1222349924 1833524886 2139112367 2444699848 2750287329 3667049772 4278224734 5500574658 6417337101 7334099544 8556449468 11001149316 12834674202 17112898936 19252011303 22002298632 25669348404 38504022606 51338696808 77008045212 154016090424