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142191789936 = 24372487124139
BaseRepresentation
bin1000010001101101001…
…0101000011101110000
3111121000120221100022020
42010123102220131300
54312202044234221
6145153315311440
713162434162300
oct2043322503560
9447016840266
10142191789936
1155337616389
12236838ab580
13105409aa711
146c4c76d600
153a7336aac6
hex211b4a8770

142191789936 has 120 divisors (see below), whose sum is σ = 428181701760. Its totient is φ = 40542477696.

The previous prime is 142191789899. The next prime is 142191789973. The reversal of 142191789936 is 639987191241.

It is an interprime number because it is at equal distance from previous prime (142191789899) and next prime (142191789973).

It is a self number, because there is not a number n which added to its sum of digits gives 142191789936.

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, 1083355 + ... + 1207493.

It is an arithmetic number, because the mean of its divisors is an integer number (3568180848).

Almost surely, 2142191789936 is an apocalyptic number.

142191789936 is a gapful number since it is divisible by the number (16) 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 142191789936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214090850880).

142191789936 is an abundant number, since it is smaller than the sum of its proper divisors (285989911824).

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

142191789936 is a wasteful number, since it uses less digits than its factorization.

142191789936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124651 (or 124638 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 60.

The spelling of 142191789936 in words is "one hundred forty-two billion, one hundred ninety-one million, seven hundred eighty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 487 588 784 974 1176 1461 1948 2352 2922 3409 3896 5844 6818 7792 10227 11688 13636 20454 23376 23863 27272 40908 47726 54544 71589 81816 95452 124139 143178 163632 190904 248278 286356 372417 381808 496556 572712 744834 868973 993112 1145424 1489668 1737946 1986224 2606919 2979336 3475892 5213838 5958672 6082811 6951784 10427676 12165622 13903568 18248433 20855352 24331244 36496866 41710704 48662488 60455693 72993732 97324976 120911386 145987464 181367079 241822772 291974928 362734158 423189851 483645544 725468316 846379702 967291088 1269569553 1450936632 1692759404 2539139106 2901873264 2962328957 3385518808 5078278212 5924657914 6771037616 8886986871 10156556424 11849315828 17773973742 20313112848 23698631656 35547947484 47397263312 71095894968 142191789936