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142639817712 = 2437291166571
BaseRepresentation
bin1000010011010111111…
…1101110001111110000
3111122011210222111212120
42010311333232033300
54314111243131322
6145310002154240
713206514305600
oct2046577561760
9448153874776
10142639817712
1155547505277
1223789952980
13105b2766802
146c92076c00
153a9c869a5c
hex2135fee3f0

142639817712 has 120 divisors (see below), whose sum is σ = 429124177152. Its totient is φ = 40708886400.

The previous prime is 142639817693. The next prime is 142639817731. The reversal of 142639817712 is 217718936241.

It is an interprime number because it is at equal distance from previous prime (142639817693) and next prime (142639817731).

It is a super-2 number, since 2×1426398177122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2109387 + ... + 2175957.

Almost surely, 2142639817712 is an apocalyptic number.

142639817712 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 142639817712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214562088576).

142639817712 is an abundant number, since it is smaller than the sum of its proper divisors (286484359440).

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

142639817712 is a wasteful number, since it uses less digits than its factorization.

142639817712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67507 (or 67494 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 51.

The spelling of 142639817712 in words is "one hundred forty-two billion, six hundred thirty-nine million, eight hundred seventeen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 911 1176 1822 2352 2733 3644 5466 6377 7288 10932 12754 14576 19131 21864 25508 38262 43728 44639 51016 66571 76524 89278 102032 133142 133917 153048 178556 199713 266284 267834 306096 357112 399426 465997 532568 535668 714224 798852 931994 1065136 1071336 1397991 1597704 1863988 2142672 2795982 3195408 3261979 3727976 5591964 6523958 7455952 9785937 11183928 13047916 19571874 22367856 26095832 39143748 52191664 60646181 78287496 121292362 156574992 181938543 242584724 363877086 424523267 485169448 727754172 849046534 970338896 1273569801 1455508344 1698093068 2547139602 2911016688 2971662869 3396186136 5094279204 5943325738 6792372272 8914988607 10188558408 11886651476 17829977214 20377116816 23773302952 35659954428 47546605904 71319908856 142639817712