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140132142341001 = 331911153124918869
BaseRepresentation
bin11111110111001100001110…
…100100001101101110001001
3200101011111112221100222121000
4133313030032210031232021
5121331411111414403001
61214011452324005213
741342133056455416
oct3767141644155611
9611144487328530
10140132142341001
1140717787128928
121387266ab30809
1360265343a9315
14268660910510d
15113025a47ca86
hex7f730e90db89

140132142341001 has 64 divisors (see below), whose sum is σ = 209049408000000. Its totient is φ = 92772452597760.

The previous prime is 140132142340969. The next prime is 140132142341011. The reversal of 140132142341001 is 100143241231041.

It is a happy number.

140132142341001 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 321 + 4 + 234 + 100 + 1 = 666.

It is not a de Polignac number, because 140132142341001 - 25 = 140132142340969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (140132142341011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7426570795 + ... + 7426589663.

It is an arithmetic number, because the mean of its divisors is an integer number (3266397000000).

Almost surely, 2140132142341001 is an apocalyptic number.

It is an amenable number.

140132142341001 is a deficient number, since it is larger than the sum of its proper divisors (68917265658999).

140132142341001 is a wasteful number, since it uses less digits than its factorization.

140132142341001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21471 (or 21465 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 140132142341001 its reverse (100143241231041), we get a palindrome (240275383572042).

The spelling of 140132142341001 in words is "one hundred forty trillion, one hundred thirty-two billion, one hundred forty-two million, three hundred forty-one thousand, one".

Divisors: 1 3 9 27 191 573 1153 1249 1719 3459 3747 5157 10377 11241 18869 31131 33723 56607 169821 220223 238559 509463 660669 715677 1440097 1982007 2147031 3603979 4320291 5946021 6441093 10811937 12960873 21755957 23567381 32435811 38882619 65267871 70702143 97307433 195803613 212106429 275058527 587410839 636319287 825175581 2475526743 4155387787 4501369771 7426580229 12466163361 13504109313 27173190293 37398490083 40512327939 81519570879 112195470249 121536983817 244558712637 733676137911 5190079345963 15570238037889 46710714113667 140132142341001