Search a number
-
+
145356220020 = 223511220236697
BaseRepresentation
bin1000011101011111100…
…1111110011001110100
3111220012010101001022110
42013113321332121310
54340142143020040
6150435320131020
713334030325054
oct2072771763164
9456163331273
10145356220020
1156710884560
1224207606a70
1310926473c5b
14706cb39564
153bab08e980
hex21d7e7e674

145356220020 has 48 divisors (see below), whose sum is σ = 443997183168. Its totient is φ = 35237871360.

The previous prime is 145356219989. The next prime is 145356220043. The reversal of 145356220020 is 20022653541.

It is a super-2 number, since 2×1453562200202 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 145356220020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110117689 + ... + 110119008.

It is an arithmetic number, because the mean of its divisors is an integer number (9249941316).

Almost surely, 2145356220020 is an apocalyptic number.

145356220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145356220020 is an abundant number, since it is smaller than the sum of its proper divisors (298640963148).

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

145356220020 is a wasteful number, since it uses less digits than its factorization.

145356220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220236720 (or 220236718 counting only the distinct ones).

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

Adding to 145356220020 its reverse (20022653541), we get a palindrome (165378873561).

The spelling of 145356220020 in words is "one hundred forty-five billion, three hundred fifty-six million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 220236697 440473394 660710091 880946788 1101183485 1321420182 2202366970 2422603667 2642840364 3303550455 4404733940 4845207334 6607100910 7267811001 9690414668 12113018335 13214201820 14535622002 24226036670 29071244004 36339055005 48452073340 72678110010 145356220020