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145262241424 = 2453892936569
BaseRepresentation
bin1000011101001001001…
…1011110011010010000
3111212221120112102220201
42013102103132122100
54334444113211144
6150422121544544
713331506452016
oct2072223363220
9455846472821
10145262241424
1156672825aa3
12241a0045154
131090cb5b111
1470604748b6
153ba2bc91d4
hex21d24de690

145262241424 has 80 divisors (see below), whose sum is σ = 291011842800. Its totient is φ = 70208872448.

The previous prime is 145262241391. The next prime is 145262241431. The reversal of 145262241424 is 424142262541.

It can be written as a sum of positive squares in 8 ways, for example, as 28134023824 + 117128217600 = 167732^2 + 342240^2 .

It is a super-2 number, since 2×1452622414242 (a number of 23 digits) contains 22 as substring.

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, 22110012 + ... + 22116580.

It is an arithmetic number, because the mean of its divisors is an integer number (3637648035).

Almost surely, 2145262241424 is an apocalyptic number.

It is an amenable number.

145262241424 is an abundant number, since it is smaller than the sum of its proper divisors (145749601376).

145262241424 is a wasteful number, since it uses less digits than its factorization.

145262241424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7012 (or 7006 counting only the distinct ones).

The product of its digits is 122880, while the sum is 37.

It can be divided in two parts, 14526224 and 1424, that multiplied together give a square (20685342976 = 1438242).

The spelling of 145262241424 in words is "one hundred forty-five billion, two hundred sixty-two million, two hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 53 89 106 178 212 293 356 424 586 712 848 1172 1424 2344 4688 4717 6569 9434 13138 15529 18868 26077 26276 31058 37736 52154 52552 62116 75472 104308 105104 124232 208616 248464 348157 417232 584641 696314 1169282 1382081 1392628 1924717 2338564 2764162 2785256 3849434 4677128 5528324 5570512 7698868 9354256 11056648 15397736 22113296 30795472 30985973 61971946 102010001 123943892 171299813 204020002 247887784 342599626 408040004 495775568 685199252 816080008 1370398504 1632160016 2740797008 9078890089 18157780178 36315560356 72631120712 145262241424