Search a number
-
+
145441222520 = 235112391383047
BaseRepresentation
bin1000011101110011111…
…0001110111101111000
3111220102001022121211012
42013130332032331320
54340330423110040
6150451554053052
713336111664546
oct2073476167570
9456361277735
10145441222520
1156754862160
122422bb7a188
131093ac662a9
14707a144d96
153bb3780865
hex21dcf8ef78

145441222520 has 64 divisors (see below), whose sum is σ = 358486041600. Its totient is φ = 52666391680.

The previous prime is 145441222513. The next prime is 145441222529. The reversal of 145441222520 is 25222144541.

It is a super-2 number, since 2×1454412225202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145441222529) by changing a digit.

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, 586364 + ... + 796683.

It is an arithmetic number, because the mean of its divisors is an integer number (5601344400).

Almost surely, 2145441222520 is an apocalyptic number.

145441222520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145441222520 is an abundant number, since it is smaller than the sum of its proper divisors (213044819080).

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

145441222520 is a wasteful number, since it uses less digits than its factorization.

145441222520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383308 (or 1383304 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

The spelling of 145441222520 in words is "one hundred forty-five billion, four hundred forty-one million, two hundred twenty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 239 440 478 956 1195 1912 2390 2629 4780 5258 9560 10516 13145 21032 26290 52580 105160 1383047 2766094 5532188 6915235 11064376 13830470 15213517 27660940 30427034 55321880 60854068 76067585 121708136 152135170 304270340 330548233 608540680 661096466 1322192932 1652741165 2644385864 3305482330 3636030563 6610964660 7272061126 13221929320 14544122252 18180152815 29088244504 36360305630 72720611260 145441222520