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142532445254052 = 223724347911768807
BaseRepresentation
bin100000011010000111101011…
…110001001011000110100100
3200200122222011011202210010210
4200122013223301023012210
5122140222421441112202
61223050300145415420
742010425602546100
oct4032075361130644
9620588134683123
10142532445254052
1141462741595077
1213b9b8ab63a570
13616b9a0c596c9
14272a870088900
1511728e173ac6c
hex81a1ebc4b1a4

142532445254052 has 144 divisors (see below), whose sum is σ = 396697331036160. Its totient is φ = 39693452275008.

The previous prime is 142532445254039. The next prime is 142532445254081. The reversal of 142532445254052 is 250452544235241.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 142532445253992 and 142532445254010.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6226633 + ... + 17995439.

It is an arithmetic number, because the mean of its divisors is an integer number (2754842576640).

Almost surely, 2142532445254052 is an apocalyptic number.

142532445254052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142532445254052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198348665518080).

142532445254052 is an abundant number, since it is smaller than the sum of its proper divisors (254164885782108).

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

142532445254052 is a wasteful number, since it uses less digits than its factorization.

142532445254052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11769350 (or 11769341 counting only the distinct ones).

The product of its (nonzero) digits is 7680000, while the sum is 48.

Adding to 142532445254052 its reverse (250452544235241), we get a palindrome (392984989489293).

The spelling of 142532445254052 in words is "one hundred forty-two trillion, five hundred thirty-two billion, four hundred forty-five million, two hundred fifty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 479 516 588 602 903 958 1204 1437 1806 1916 2107 2874 3353 3612 4214 5748 6321 6706 8428 10059 12642 13412 20118 20597 23471 25284 40236 41194 46942 61791 70413 82388 93884 123582 140826 144179 247164 281652 288358 432537 576716 865074 1009253 1730148 2018506 3027759 4037012 6055518 11768807 12111036 23537614 35306421 47075228 70612842 82381649 141225684 164763298 247144947 329526596 494289894 506058701 576671543 988579788 1012117402 1153343086 1518176103 1730014629 2024234804 2306686172 3036352206 3460029258 3542410907 5637258553 6072704412 6920058516 7084821814 10627232721 11274517106 14169643628 16911775659 21254465442 22549034212 24796876349 33823551318 39460809871 42508930884 49593752698 67647102636 74390629047 78921619742 99187505396 118382429613 148781258094 157843239484 236764859226 242402117779 276225669097 297562516188 473529718452 484804235558 552451338194 727206353337 828677007291 969608471116 1104902676388 1454412706674 1657354014582 1696814824453 2908825413348 3314708029164 3393629648906 5090444473359 6787259297812 10180888946718 11877703771171 20361777893436 23755407542342 35633111313513 47510815084684 71266222627026 142532445254052