Search a number
-
+
150180459840 = 2632552145993
BaseRepresentation
bin1000101111011101110…
…0111111010101000000
3112100122100000211020100
42023313130333111000
54430032144203330
6152554132242400
713564416563145
oct2136734772500
9470570024210
10150180459840
1158766a55314
1225133170400
1311214a84728
1473a97283cc
153d8e879060
hex22f773f540

150180459840 has 84 divisors (see below), whose sum is σ = 516558216564. Its totient is φ = 40048121856.

The previous prime is 150180459817. The next prime is 150180459881. The reversal of 150180459840 is 48954081051.

It is a happy number.

150180459840 is a `hidden beast` number, since 1 + 5 + 0 + 18 + 0 + 4 + 598 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54654958656 + 95525501184 = 233784^2 + 309072^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26070117 + ... + 26075876.

Almost surely, 2150180459840 is an apocalyptic number.

150180459840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150180459840 is an abundant number, since it is smaller than the sum of its proper divisors (366377756724).

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

150180459840 is a wasteful number, since it uses less digits than its factorization.

150180459840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52146016 (or 52146003 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 150180459840 in words is "one hundred fifty billion, one hundred eighty million, four hundred fifty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 52145993 104291986 156437979 208583972 260729965 312875958 417167944 469313937 521459930 625751916 782189895 834335888 938627874 1042919860 1251503832 1564379790 1668671776 1877255748 2085839720 2346569685 2503007664 3128759580 3337343552 3754511496 4171679440 4693139370 5006015328 6257519160 7509022992 8343358880 9386278740 10012030656 12515038320 15018045984 16686717760 18772557480 25030076640 30036091968 37545114960 50060153280 75090229920 150180459840