Search a number
-
+
142042121431120 = 24529859174140939
BaseRepresentation
bin100000010010111111000010…
…001100001110100001010000
3200121221002112122222210110201
4200102333002030032201100
5122104204231041243440
61222033125540304544
741630130120041251
oct4022770214164120
9617832478883421
10142042121431120
11412937a8576729
1213b2086b0a2154
13613468c6a9ac1
142710c37db2b28
151164c9534d19a
hex812fc230e850

142042121431120 has 160 divisors (see below), whose sum is σ = 342238323024000. Its totient is φ = 54760974428160.

The previous prime is 142042121431079. The next prime is 142042121431151. The reversal of 142042121431120 is 21134121240241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3469583611 + ... + 3469624549.

It is an arithmetic number, because the mean of its divisors is an integer number (2138989518900).

Almost surely, 2142042121431120 is an apocalyptic number.

142042121431120 is a gapful number since it is divisible by the number (10) 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 142042121431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171119161512000).

142042121431120 is an abundant number, since it is smaller than the sum of its proper divisors (200196201592880).

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

142042121431120 is a wasteful number, since it uses less digits than its factorization.

142042121431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43581 (or 43575 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 142042121431120 its reverse (21134121240241), we get a palindrome (163176242671361).

The spelling of 142042121431120 in words is "one hundred forty-two trillion, forty-two billion, one hundred twenty-one million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 859 1160 1718 1741 2320 3436 3482 4295 6872 6964 8590 8705 13744 13928 17180 17410 24911 27856 34360 34820 40939 49822 50489 68720 69640 81878 99644 100978 124555 139280 163756 199288 201956 204695 249110 252445 327512 398576 403912 409390 498220 504890 655024 807824 818780 996440 1009780 1187231 1495519 1637560 1992880 2019560 2374462 2991038 3275120 4039120 4748924 5936155 5982076 7477595 9497848 11872310 11964152 14955190 18995696 23744620 23928304 29910380 35166601 43370051 47489240 59820760 70333202 71274799 86740102 94978480 119641520 140666404 142549598 173480204 175833005 216850255 281332808 285099196 346960408 351666010 356373995 433700510 562665616 570198392 693920816 703332020 712747990 867401020 1019831429 1140396784 1406664040 1425495980 1734802040 2039662858 2066969171 2813328080 2850991960 3469604080 4079325716 4133938342 5099157145 5701983920 8158651432 8267876684 10198314290 10334845855 16317302864 16535753368 20396628580 20669691710 33071506736 40793257160 41339383420 61225052341 81586514320 82678766840 122450104682 165357533680 244900209364 306125261705 489800418728 612250523410 979600837456 1224501046820 1775526517889 2449002093640 3551053035778 4898004187280 7102106071556 8877632589445 14204212143112 17755265178890 28408424286224 35510530357780 71021060715560 142042121431120