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141341014422120 = 233519920249292301
BaseRepresentation
bin100000001000110010000100…
…111101001111001001101000
3200112110001212022110111212110
4200020302010331033021220
5122011212344143001440
61220335055440042320
741525360045560242
oct4010620475171150
9615401768414773
10141341014422120
1141043429985867
1213a28a039033a0
1360b3528aa6b66
1426c8d27a67092
15115190dec8080
hex808c84f4f268

141341014422120 has 128 divisors (see below), whose sum is σ = 426176316000000. Its totient is φ = 37499555174400.

The previous prime is 141341014422107. The next prime is 141341014422131. The reversal of 141341014422120 is 21224410143141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483399970 + ... + 483692270.

It is an arithmetic number, because the mean of its divisors is an integer number (3329502468750).

Almost surely, 2141341014422120 is an apocalyptic number.

141341014422120 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 141341014422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213088158000000).

141341014422120 is an abundant number, since it is smaller than the sum of its proper divisors (284835301577880).

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

141341014422120 is a wasteful number, since it uses less digits than its factorization.

141341014422120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312763 (or 312759 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 141341014422120 its reverse (21224410143141), we get a palindrome (162565424565261).

The spelling of 141341014422120 in words is "one hundred forty-one trillion, three hundred forty-one billion, fourteen million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 597 796 995 1194 1592 1990 2388 2985 3980 4776 5970 7960 11940 20249 23880 40498 60747 80996 101245 121494 161992 202490 242988 292301 303735 404980 485976 584602 607470 809960 876903 1169204 1214940 1461505 1753806 2338408 2429880 2923010 3507612 4029551 4384515 5846020 7015224 8059102 8769030 11692040 12088653 16118204 17538060 20147755 24177306 32236408 35076120 40295510 48354612 58167899 60443265 80591020 96709224 116335798 120886530 161182040 174503697 232671596 241773060 290839495 349007394 465343192 483546120 581678990 698014788 872518485 1163357980 1396029576 1745036970 2326715960 3490073940 5918802949 6980147880 11837605898 17756408847 23675211796 29594014745 35512817694 47350423592 59188029490 71025635388 88782044235 118376058980 142051270776 177564088470 236752117960 355128176940 710256353880 1177841786851 2355683573702 3533525360553 4711367147404 5889208934255 7067050721106 9422734294808 11778417868510 14134101442212 17667626802765 23556835737020 28268202884424 35335253605530 47113671474040 70670507211060 141341014422120