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141051234000 = 2435341573379
BaseRepresentation
bin1000001101011101001…
…1110000011011010000
3111111002002210002200210
42003113103300123100
54302333103442000
6144444213244120
713122244464315
oct2032723603320
9444062702623
10141051234000
1154901820876
1223405933640
13103bb5ca151
146b810b4d0c
153a08173350
hex20d74f06d0

141051234000 has 160 divisors (see below), whose sum is σ = 465841434240. Its totient is φ = 36696192000.

The previous prime is 141051233963. The next prime is 141051234031. The reversal of 141051234000 is 432150141.

It is a super-2 number, since 2×1410512340002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40690 + ... + 532689.

It is an arithmetic number, because the mean of its divisors is an integer number (2911508964).

Almost surely, 2141051234000 is an apocalyptic number.

141051234000 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 141051234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232920717120).

141051234000 is an abundant number, since it is smaller than the sum of its proper divisors (324790200240).

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

141051234000 is a wasteful number, since it uses less digits than its factorization.

141051234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573446 (or 573430 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 141051234000 its reverse (432150141), we get a palindrome (141483384141).

The spelling of 141051234000 in words is "one hundred forty-one billion, fifty-one million, two hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 125 150 164 200 205 240 246 250 300 328 375 400 410 492 500 600 615 656 750 820 984 1000 1025 1200 1230 1500 1640 1968 2000 2050 2460 3000 3075 3280 4100 4920 5125 6000 6150 8200 9840 10250 12300 15375 16400 20500 24600 30750 41000 49200 61500 82000 123000 246000 573379 1146758 1720137 2293516 2866895 3440274 4587032 5733790 6880548 8600685 9174064 11467580 13761096 14334475 17201370 22935160 23508539 27522192 28668950 34402740 43003425 45870320 47017078 57337900 68805480 70525617 71672375 86006850 94034156 114675800 117542695 137610960 141051234 143344750 172013700 188068312 215017125 229351600 235085390 282102468 286689500 344027400 352628085 376136624 430034250 470170780 564204936 573379000 587713475 688054800 705256170 860068500 940341560 1128409872 1146758000 1175426950 1410512340 1720137000 1763140425 1880683120 2350853900 2821024680 2938567375 3440274000 3526280850 4701707800 5642049360 5877134750 7052561700 8815702125 9403415600 11754269500 14105123400 17631404250 23508539000 28210246800 35262808500 47017078000 70525617000 141051234000