Search a number
-
+
151469424240 = 24351933216979
BaseRepresentation
bin1000110100010001000…
…1111111111001110000
3112110222011102222222120
42031010101333321300
54440202133033430
6153330055234240
713641360601641
oct2150421777160
9473864388876
10151469424240
11592685a5352
1225432978980
131138bb27664
14748c9b56c8
153e17ad9610
hex234447fe70

151469424240 has 80 divisors (see below), whose sum is σ = 494268662400. Its totient is φ = 38265958656.

The previous prime is 151469424217. The next prime is 151469424277. The reversal of 151469424240 is 42424964151.

151469424240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 151469424192 and 151469424201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16603930 + ... + 16613049.

It is an arithmetic number, because the mean of its divisors is an integer number (6178358280).

Almost surely, 2151469424240 is an apocalyptic number.

151469424240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151469424240 is an abundant number, since it is smaller than the sum of its proper divisors (342799238160).

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

151469424240 is a wasteful number, since it uses less digits than its factorization.

151469424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33217014 (or 33217008 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 151469424240 in words is "one hundred fifty-one billion, four hundred sixty-nine million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 33216979 66433958 99650937 132867916 166084895 199301874 265735832 332169790 398603748 498254685 531471664 631122601 664339580 797207496 996509370 1262245202 1328679160 1594414992 1893367803 1993018740 2524490404 2657358320 3155613005 3786735606 3986037480 5048980808 6311226010 7573471212 7972074960 9466839015 10097961616 12622452020 15146942424 18933678030 25244904040 30293884848 37867356060 50489808080 75734712120 151469424240