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150506203440 = 24351692137061
BaseRepresentation
bin1000110000101011011…
…1100110100100110000
3112101111000222022110010
42030022313212210300
54431214042002230
6153050330134520
713605453423015
oct2141267464460
9471430868403
10150506203440
11589139122aa
1225204281440
13112673c7018
1473daabd70c
153dad2709b0
hex230ade6930

150506203440 has 80 divisors (see below), whose sum is σ = 466609394016. Its totient is φ = 40131532800.

The previous prime is 150506203439. The next prime is 150506203453. The reversal of 150506203440 is 44302605051.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 150506203398 and 150506203407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4042510 + ... + 4079570.

Almost surely, 2150506203440 is an apocalyptic number.

150506203440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150506203440 is an abundant number, since it is smaller than the sum of its proper divisors (316103190576).

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

150506203440 is a wasteful number, since it uses less digits than its factorization.

150506203440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53998 (or 53992 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 150506203440 its reverse (44302605051), we get a palindrome (194808808491).

The spelling of 150506203440 in words is "one hundred fifty billion, five hundred six million, two hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 16921 33842 37061 50763 67684 74122 84605 101526 111183 135368 148244 169210 185305 203052 222366 253815 270736 296488 338420 370610 406104 444732 507630 555915 592976 676840 741220 812208 889464 1015260 1111830 1353680 1482440 1778928 2030520 2223660 2964880 4061040 4447320 8894640 627109181 1254218362 1881327543 2508436724 3135545905 3762655086 5016873448 6271091810 7525310172 9406637715 10033746896 12542183620 15050620344 18813275430 25084367240 30101240688 37626550860 50168734480 75253101720 150506203440