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140213431314231 = 311231072118182417
BaseRepresentation
bin11111111000010111111011…
…110001000010011100110111
3200101110021101002220200110020
4133320113323301002130313
5121334224101404023411
61214113054444500223
741351041352363442
oct3770277361023467
9611407332820406
10140213431314231
1140749200690640
121388637654a673
1360310ba588092
14268a51b130659
151132416bae606
hex7f85fbc42737

140213431314231 has 64 divisors (see below), whose sum is σ = 215821028192256. Its totient is φ = 80141855270400.

The previous prime is 140213431314221. The next prime is 140213431314241. The reversal of 140213431314231 is 132413134312041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (140213431314221) and next prime (140213431314241).

It is not a de Polignac number, because 140213431314231 - 223 = 140213422925623 is a prime.

It is a super-2 number, since 2×1402134313142312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 140213431314192 and 140213431314201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140213431314221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13044735 + ... + 21227151.

It is an arithmetic number, because the mean of its divisors is an integer number (3372203565504).

Almost surely, 2140213431314231 is an apocalyptic number.

140213431314231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

140213431314231 is a deficient number, since it is larger than the sum of its proper divisors (75607596878025).

140213431314231 is a wasteful number, since it uses less digits than its factorization.

140213431314231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8182772.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 140213431314231 its reverse (132413134312041), we get a palindrome (272626565626272).

The spelling of 140213431314231 in words is "one hundred forty trillion, two hundred thirteen billion, four hundred thirty-one million, three hundred fourteen thousand, two hundred thirty-one".

Divisors: 1 3 11 23 33 69 107 211 253 321 633 759 1177 2321 2461 3531 4853 6963 7383 14559 22577 27071 53383 67731 81213 160149 248347 519271 745041 1557813 5711981 8182417 17135943 24547251 90006587 188195591 270019761 564586773 875518619 1726489987 2070151501 2626555857 5179469961 6210454503 9630704809 18991389857 20136928237 28892114427 39709269701 56974169571 60410784711 119127809103 184734428609 221506210607 436801966711 554203285827 664518631821 1310405900133 2032078714699 4248891858007 6096236144097 12746675574021 46737810438077 140213431314231