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42245155154224 = 2411659364232611
BaseRepresentation
bin10011001101011111101110…
…11101110110100100110000
312112120121010111110001102101
421212233313131312210300
521014121034204413344
6225503053435030144
711620053220011541
oct1146576735664460
9175517114401371
1042245155154224
1112508084834830
1248a3488b9b354
131a75916244069
14a609681464c8
154d3d605089d4
hex266bf7776930

42245155154224 has 40 divisors (see below), whose sum is σ = 89426390898240. Its totient is φ = 19173204590400.

The previous prime is 42245155154221. The next prime is 42245155154239.

42245155154224 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42245155154221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182000322 + ... + 182232289.

It is an arithmetic number, because the mean of its divisors is an integer number (2235659772456).

Almost surely, 242245155154224 is an apocalyptic number.

42245155154224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42245155154224 is an abundant number, since it is smaller than the sum of its proper divisors (47181235744016).

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

42245155154224 is a wasteful number, since it uses less digits than its factorization.

42245155154224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364233289 (or 364233283 counting only the distinct ones).

The product of its digits is 2560000, while the sum is 46.

It can be divided in two parts, 4224515 and 5154224, that added together give a palindrome (9378739).

The spelling of 42245155154224 in words is "forty-two trillion, two hundred forty-five billion, one hundred fifty-five million, one hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 659 1318 2636 5272 7249 10544 14498 28996 57992 115984 364232611 728465222 1456930444 2913860888 4006558721 5827721776 8013117442 16026234884 32052469768 64104939536 240029290649 480058581298 960117162596 1920234325192 2640322197139 3840468650384 5280644394278 10561288788556 21122577577112 42245155154224