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141143444244120 = 233514912136507773
BaseRepresentation
bin100000000101111010000100…
…110110110100011010011000
3200111202011220022022120112110
4200011322010312310122120
5121444443233211302440
61220104223025312320
741505164061014343
oct4005720466643230
9614664808276473
10141143444244120
1140a7766474591a
12139b6665a956a0
13609aa00cb55a6
1426bd54456945a
15114b6e901b080
hex805e84db4698

141143444244120 has 128 divisors (see below), whose sum is σ = 426623632344000. Its totient is φ = 37354819528704.

The previous prime is 141143444244059. The next prime is 141143444244133. The reversal of 141143444244120 is 21442444341141.

It is a happy number.

It is a super-2 number, since 2×1411434442441202 (a number of 29 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 31 ways as a sum of consecutive naturals, for example, 18434554 + ... + 24942326.

Almost surely, 2141143444244120 is an apocalyptic number.

141143444244120 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 141143444244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213311816172000).

141143444244120 is an abundant number, since it is smaller than the sum of its proper divisors (285480188099880).

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

141143444244120 is a wasteful number, since it uses less digits than its factorization.

141143444244120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6509149 (or 6509145 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 39.

Adding to 141143444244120 its reverse (21442444341141), we get a palindrome (162585888585261).

The spelling of 141143444244120 in words is "one hundred forty-one trillion, one hundred forty-three billion, four hundred forty-four million, two hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 447 596 745 894 1192 1213 1490 1788 2235 2426 2980 3576 3639 4470 4852 5960 6065 7278 8940 9704 12130 14556 17880 18195 24260 29112 36390 48520 72780 145560 180737 361474 542211 722948 903685 1084422 1445896 1807370 2168844 2711055 3614740 4337688 5422110 6507773 7229480 10844220 13015546 19523319 21688440 26031092 32538865 39046638 52062184 65077730 78093276 97616595 130155460 156186552 195233190 260310920 390466380 780932760 969658177 1939316354 2908974531 3878632708 4848290885 5817949062 7757265416 7893928649 9696581770 11635898124 14544872655 15787857298 19393163540 23271796248 23681785947 29089745310 31575714596 38786327080 39469643245 47363571894 58179490620 63151429192 78939286490 94727143788 116358981240 118408929735 157878572980 189454287576 236817859470 315757145960 473635718940 947271437880 1176195368701 2352390737402 3528586106103 4704781474804 5880976843505 7057172212206 9409562949608 11761953687010 14114344424412 17642930530515 23523907374020 28228688848824 35285861061030 47047814748040 70571722122060 141143444244120