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140019704511696 = 24329772713788611
BaseRepresentation
bin11111110101100011100000…
…101111111011110011010000
3200100202202022221202110002200
4133311203200233323303100
5121323040323323333241
61213444055251043200
741331042543624042
oct3765434057736320
9610682287673080
10140019704511696
1140684028988559
121385490b8a0500
136018a55b09c89
142680dc0255a92
15112c37933a4b6
hex7f58e0bfbcd0

140019704511696 has 120 divisors (see below), whose sum is σ = 396445098014784. Its totient is φ = 46128526202880.

The previous prime is 140019704511689. The next prime is 140019704511727. The reversal of 140019704511696 is 696115407910041.

140019704511696 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 97 + 0 + 451 + 16 + 96 = 666.

It is a super-2 number, since 2×1400197045116962 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3260431 + ... + 17049041.

Almost surely, 2140019704511696 is an apocalyptic number.

140019704511696 is a gapful number since it is divisible by the number (16) 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 140019704511696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198222549007392).

140019704511696 is an abundant number, since it is smaller than the sum of its proper divisors (256425393503088).

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

140019704511696 is a wasteful number, since it uses less digits than its factorization.

140019704511696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13789449 (or 13789440 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 140019704511696 in words is "one hundred forty trillion, nineteen billion, seven hundred four million, five hundred eleven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 727 776 873 1164 1454 1552 1746 2181 2328 2908 3492 4362 4656 5816 6543 6984 8724 11632 13086 13968 17448 26172 34896 52344 70519 104688 141038 211557 282076 423114 564152 634671 846228 1128304 1269342 1692456 2538684 3384912 5077368 10154736 13788611 27577222 41365833 55154444 82731666 110308888 124097499 165463332 220617776 248194998 330926664 496389996 661853328 992779992 1337495267 1985559984 2674990534 4012485801 5349981068 8024971602 10024320197 10699962136 12037457403 16049943204 20048640394 21399924272 24074914806 30072960591 32099886408 40097280788 48149829612 60145921182 64199772816 80194561576 90218881773 96299659224 120291842364 160389123152 180437763546 192599318448 240583684728 360875527092 481167369456 721751054184 972359059109 1443502108368 1944718118218 2917077177327 3889436236436 5834154354654 7778872472872 8751231531981 11668308709308 15557744945744 17502463063962 23336617418616 35004926127924 46673234837232 70009852255848 140019704511696