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140213111199984 = 24333493343278191
BaseRepresentation
bin11111111000010111101000…
…101011111001100011110000
3200101110020112210120012021000
4133320113220223321203300
5121334222422431344414
61214113003011402000
741351030414430654
oct3770275053714360
9611406483505230
10140213111199984
1140749056a19009
12138862a72b3300
136031069166b74
14268a4ca802a64
1511323e8a2ab09
hex7f85e8af98f0

140213111199984 has 160 divisors (see below), whose sum is σ = 403738936832000. Its totient is φ = 46589676629760.

The previous prime is 140213111199983. The next prime is 140213111200003. The reversal of 140213111199984 is 489991111312041.

140213111199984 is a `hidden beast` number, since 1 + 40 + 21 + 311 + 1 + 199 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 140213111199984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140213111199983) 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, 503878329 + ... + 504156519.

It is an arithmetic number, because the mean of its divisors is an integer number (2523368355200).

Almost surely, 2140213111199984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140213111199984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201869468416000).

140213111199984 is an abundant number, since it is smaller than the sum of its proper divisors (263525825632016).

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

140213111199984 is a wasteful number, since it uses less digits than its factorization.

140213111199984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281900 (or 281888 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 140213111199984 in words is "one hundred forty trillion, two hundred thirteen billion, one hundred eleven million, one hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 349 432 698 1047 1396 2094 2792 3141 3343 4188 5584 6282 6686 8376 9423 10029 12564 13372 16752 18846 20058 25128 26744 30087 37692 40116 50256 53488 60174 75384 80232 90261 120348 150768 160464 180522 240696 278191 361044 481392 556382 722088 834573 1112764 1166707 1444176 1669146 2225528 2333414 2503719 3338292 3500121 4451056 4666828 5007438 6676584 7000242 7511157 9333656 10014876 10500363 13353168 14000484 15022314 18667312 20029752 21000726 28000968 30044628 31501089 40059504 42001452 56001936 60089256 63002178 84002904 97088659 120178512 126004356 168005808 194177318 252008712 291265977 388354636 504017424 582531954 776709272 873797931 929992513 1165063908 1553418544 1747595862 1859985026 2330127816 2621393793 2789977539 3495191724 3719970052 4660255632 5242787586 5579955078 6990383448 7439940104 8369932617 10485575172 11159910156 13980766896 14879880208 16739865234 20971150344 22319820312 25109797851 33479730468 41942300688 44639640624 50219595702 66959460936 100439191404 133918921872 200878382808 324567387037 401756765616 649134774074 973702161111 1298269548148 1947404322222 2596539096296 2921106483333 3894808644444 5193078192592 5842212966666 7789617288888 8763319449999 11684425933332 15579234577776 17526638899998 23368851866664 35053277799996 46737703733328 70106555599992 140213111199984