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141026744000 = 2653148111903
BaseRepresentation
bin1000001101010111011…
…0010101011011000000
3111111000101200212201202
42003111312111123000
54302310321302000
6144441540320332
713121526355022
oct2032566253300
9444011625652
10141026744000
1154899a140aa
12233b96a30a8
13103b650411c
146b7bb3c012
153a05e36dd5
hex20d5d956c0

141026744000 has 112 divisors (see below), whose sum is σ = 349517915136. Its totient is φ = 56367872000.

The previous prime is 141026743937. The next prime is 141026744063. The reversal of 141026744000 is 447620141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (141026743937) and next prime (141026744063).

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 15 ways as a sum of consecutive naturals, for example, 11842049 + ... + 11853951.

Almost surely, 2141026744000 is an apocalyptic number.

141026744000 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 141026744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174758957568).

141026744000 is an abundant number, since it is smaller than the sum of its proper divisors (208491171136).

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

141026744000 is a wasteful number, since it uses less digits than its factorization.

141026744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13411 (or 13391 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The spelling of 141026744000 in words is "one hundred forty-one billion, twenty-six million, seven hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1481 1600 2000 2962 4000 5924 7405 8000 11848 11903 14810 23696 23806 29620 37025 47392 47612 59240 59515 74050 94784 95224 118480 119030 148100 185125 190448 236960 238060 296200 297575 370250 380896 473920 476120 592400 595150 740500 761792 952240 1184800 1190300 1481000 1487875 1904480 2369600 2380600 2962000 2975750 3808960 4761200 5924000 5951500 9522400 11848000 11903000 17628343 19044800 23806000 35256686 47612000 70513372 88141715 95224000 141026744 176283430 282053488 352566860 440708575 564106976 705133720 881417150 1128213952 1410267440 1762834300 2203542875 2820534880 3525668600 4407085750 5641069760 7051337200 8814171500 14102674400 17628343000 28205348800 35256686000 70513372000 141026744000