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142620032034612 = 2232111093739883697
BaseRepresentation
bin100000011011011001010000…
…010110001110011100110100
3200200222100020020202020112100
4200123121100112032130310
5122143141311200101422
61223154423242222100
742016646230110336
oct4033312026163464
9620870206666470
10142620032034612
11414968a7a94730
1213bb48741b4930
13617701bb14c92
142730bbc685456
151174d1acce7ac
hex81b65058e734

142620032034612 has 144 divisors (see below), whose sum is σ = 397000266062400. Its totient is φ = 42810193198080.

The previous prime is 142620032034607. The next prime is 142620032034619. The reversal of 142620032034612 is 216430230026241.

142620032034612 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 2 + 0 + 0 + 3 + 2 + 0 + 34 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142620032034619) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160948348 + ... + 161832044.

It is an arithmetic number, because the mean of its divisors is an integer number (2756946292100).

Almost surely, 2142620032034612 is an apocalyptic number.

142620032034612 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 142620032034612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198500133031200).

142620032034612 is an abundant number, since it is smaller than the sum of its proper divisors (254380234027788).

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

142620032034612 is a wasteful number, since it uses less digits than its factorization.

142620032034612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887566 (or 887561 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 142620032034612 in words is "one hundred forty-two trillion, six hundred twenty billion, thirty-two million, thirty-four thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 109 132 198 218 327 396 436 654 981 1199 1308 1962 2398 3597 3739 3924 4796 7194 7478 10791 11217 14388 14956 21582 22434 33651 41129 43164 44868 67302 82258 123387 134604 164516 246774 370161 407551 493548 740322 815102 883697 1222653 1480644 1630204 1767394 2445306 2651091 3534788 3667959 4483061 4890612 5302182 7335918 7953273 8966122 9720667 10604364 13449183 14671836 15906546 17932244 19441334 26898366 29162001 31813092 38882668 40347549 53796732 58324002 80695098 87486003 96322973 116648004 161390196 174972006 192645946 288968919 349944012 385291892 577937838 866906757 1059552703 1155875676 1733813514 2119105406 3178658109 3304143083 3467627028 4238210812 6357316218 6608286166 9535974327 9912429249 12714632436 13216572332 19071948654 19824858498 29737287747 36345573913 38143897308 39649716996 59474575494 72691147826 109036721739 118949150988 145382295652 218073443478 327110165217 360151596047 436146886956 654220330434 720303192094 1080454788141 1308440660868 1440606384188 2160909576282 3241364364423 3961667556517 4321819152564 6482728728846 7923335113034 11885002669551 12965457457692 15846670226068 23770005339102 35655008008653 47540010678204 71310016017306 142620032034612