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42145322354124 = 223114126928949383
BaseRepresentation
bin10011001010100101110001…
…11101111100010111001100
312112020001102222102100022120
421211102320331330113030
521011002110010312444
6225345143243412540
711606620243140363
oct1145227075742714
9175201388370276
1042145322354124
1112479804819470
124888067224150
131a69396276292
14a59bb73aa7da
154d146ace9b19
hex2654b8f7c5cc

42145322354124 has 96 divisors (see below), whose sum is σ = 110304100892160. Its totient is φ = 12413495001600.

The previous prime is 42145322354101. The next prime is 42145322354131.

42145322354124 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13018864 + ... + 15930519.

It is an arithmetic number, because the mean of its divisors is an integer number (1149001050960).

Almost surely, 242145322354124 is an apocalyptic number.

42145322354124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42145322354124 is an abundant number, since it is smaller than the sum of its proper divisors (68158778538036).

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

42145322354124 is a wasteful number, since it uses less digits than its factorization.

42145322354124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28949711 (or 28949709 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 4214532 and 2354124, that added together give a palindrome (6568656).

The spelling of 42145322354124 in words is "forty-two trillion, one hundred forty-five billion, three hundred twenty-two million, three hundred fifty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 269 451 492 538 807 902 1076 1353 1614 1804 2706 2959 3228 5412 5918 8877 11029 11836 17754 22058 33087 35508 44116 66174 121319 132348 242638 363957 485276 727914 1455828 28949383 57898766 86848149 115797532 173696298 318443213 347392596 636886426 955329639 1186924703 1273772852 1910659278 2373849406 3560774109 3821318556 4747698812 7121548218 7787384027 13056171733 14243096436 15574768054 23362152081 26112343466 31149536108 39168515199 46724304162 52224686932 78337030398 85661224297 93448608324 156674060796 171322448594 256983672891 319282745107 342644897188 513967345782 638565490214 957848235321 1027934691564 1277130980428 1915696470642 3512110196177 3831392941284 7024220392354 10536330588531 14048440784708 21072661177062 42145322354124