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142314423231144 = 233149197202015727
BaseRepresentation
bin100000010110111100101000…
…101001001010001010101000
3200122220010101211212110212110
4200112330220221022022220
5122123134414321344034
61222402202105042320
741655610035124203
oct4026745051121250
9618803354773773
10142314423231144
114138923186a36a
1213b655a44863a0
136154266c98b68
1427200aa68693a
15116bdd100cde9
hex816f28a4a2a8

142314423231144 has 64 divisors (see below), whose sum is σ = 359992027296000. Its totient is φ = 46880577438464.

The previous prime is 142314423231139. The next prime is 142314423231161. The reversal of 142314423231144 is 441132324413241.

It is a super-2 number, since 2×1423144232311442 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100303392 + ... + 101712335.

It is an arithmetic number, because the mean of its divisors is an integer number (5624875426500).

Almost surely, 2142314423231144 is an apocalyptic number.

It is an amenable number.

142314423231144 is an abundant number, since it is smaller than the sum of its proper divisors (217677604064856).

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

142314423231144 is a wasteful number, since it uses less digits than its factorization.

142314423231144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202016082 (or 202016078 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

Adding to 142314423231144 its reverse (441132324413241), we get a palindrome (583446747644385).

The spelling of 142314423231144 in words is "one hundred forty-two trillion, three hundred fourteen billion, four hundred twenty-three million, two hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 149 197 298 394 447 591 596 788 894 1182 1192 1576 1788 2364 3576 4728 29353 58706 88059 117412 176118 234824 352236 704472 202015727 404031454 606047181 808062908 1212094362 1616125816 2424188724 4848377448 30100343323 39797098219 60200686646 79594196438 90301029969 119391294657 120401373292 159188392876 180602059938 238782589314 240802746584 318376785752 361204119876 477565178628 722408239752 955130357256 5929767634631 11859535269262 17789302903893 23719070538524 35578605807786 47438141077048 71157211615572 142314423231144