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141310114000 = 24531123279269
BaseRepresentation
bin1000001110011010111…
…1010011100011010000
3111111202010220120021221
42003212233103203100
54303400342122000
6144530022054424
713131540102436
oct2034657234320
9444663816257
10141310114000
1154a2496a190
122347857a414
131043012b693
146ba7622d56
153a20c5d61a
hex20e6bd38d0

141310114000 has 160 divisors (see below), whose sum is σ = 388958319360. Its totient is φ = 49151168000.

The previous prime is 141310113991. The next prime is 141310114007. The reversal of 141310114000 is 411013141.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141310114007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366366 + ... + 645634.

It is an arithmetic number, because the mean of its divisors is an integer number (2430989496).

Almost surely, 2141310114000 is an apocalyptic number.

141310114000 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 141310114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194479159680).

141310114000 is an abundant number, since it is smaller than the sum of its proper divisors (247648205360).

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

141310114000 is a wasteful number, since it uses less digits than its factorization.

141310114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279326 (or 279310 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 141310114000 its reverse (411013141), we get a palindrome (141721127141).

The spelling of 141310114000 in words is "one hundred forty-one billion, three hundred ten million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 110 115 125 176 184 200 220 230 250 253 275 368 400 440 460 500 506 550 575 880 920 1000 1012 1100 1150 1265 1375 1840 2000 2024 2200 2300 2530 2750 2875 4048 4400 4600 5060 5500 5750 6325 9200 10120 11000 11500 12650 20240 22000 23000 25300 31625 46000 50600 63250 101200 126500 253000 279269 506000 558538 1117076 1396345 2234152 2792690 3071959 4468304 5585380 6143918 6423187 6981725 11170760 12287836 12846374 13963450 15359795 22341520 24575672 25692748 27926900 30719590 32115935 34908625 49151344 51385496 55853800 61439180 64231870 69817250 70655057 76798975 102770992 111707600 122878360 128463740 139634500 141310114 153597950 160579675 245756720 256927480 279269000 282620228 307195900 321159350 353275285 383994875 513854960 558538000 565240456 614391800 642318700 706550570 767989750 802898375 1130480912 1228783600 1284637400 1413101140 1535979500 1605796750 1766376425 2569274800 2826202280 3071959000 3211593500 3532752850 5652404560 6143918000 6423187000 7065505700 8831882125 12846374000 14131011400 17663764250 28262022800 35327528500 70655057000 141310114000