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42252366325224 = 23311310195159639
BaseRepresentation
bin10011001101101101001010…
…10010010010010111101000
312112121021202001112111100210
421212312211102102113220
521014230321234401344
6225510245155301120
711620430011652646
oct1146664522222750
9175537661474323
1042252366325224
1112510145301290
1248a495bbaa7a0
131a764c5215b53
14a6104db52196
154d4133636db9
hex266da54925e8

42252366325224 has 64 divisors (see below), whose sum is σ = 115237463616000. Its totient is φ = 12803332118720.

The previous prime is 42252366325223. The next prime is 42252366325277.

42252366325224 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42252366325223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5609197 + ... + 10768835.

It is an arithmetic number, because the mean of its divisors is an integer number (1800585369000).

Almost surely, 242252366325224 is an apocalyptic number.

42252366325224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42252366325224 is an abundant number, since it is smaller than the sum of its proper divisors (72985097290776).

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

42252366325224 is a wasteful number, since it uses less digits than its factorization.

42252366325224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190678 (or 5190674 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 48.

The spelling of 42252366325224 in words is "forty-two trillion, two hundred fifty-two billion, three hundred sixty-six million, three hundred twenty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 31019 62038 93057 124076 186114 248152 341209 372228 682418 744456 1023627 1364836 2047254 2729672 4094508 5159639 8189016 10319278 15478917 20638556 30957834 41277112 56756029 61915668 113512058 123831336 170268087 227024116 340536174 454048232 681072348 1362144696 160046842141 320093684282 480140526423 640187368564 960281052846 1280374737128 1760515263551 1920562105692 3521030527102 3841124211384 5281545790653 7042061054204 10563091581306 14084122108408 21126183162612 42252366325224