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142240212434341 = 7293724710889929
BaseRepresentation
bin100000010101110111100001…
…010101011011110110100101
3200122122000211222011101200201
4200111313201111123312211
5122120430423340344331
61222304130154110501
741650342030555060
oct4025674125336645
9618560758141621
10142240212434341
114135a80a7a733a
1213b5313341b431
13614a26b365388
14271a66a7278d7
151169edadd8a61
hex815de155bda5

142240212434341 has 48 divisors (see below), whose sum is σ = 176510954995200. Its totient is φ = 112097608293888.

The previous prime is 142240212434321. The next prime is 142240212434393. The reversal of 142240212434341 is 143434212042241.

It is not a de Polignac number, because 142240212434341 - 211 = 142240212432293 is a prime.

It is a super-2 number, since 2×1422402124343412 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 142240212434341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142240212434321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7616665 + ... + 18506593.

It is an arithmetic number, because the mean of its divisors is an integer number (3677311562400).

Almost surely, 2142240212434341 is an apocalyptic number.

It is an amenable number.

142240212434341 is a deficient number, since it is larger than the sum of its proper divisors (34270742560859).

142240212434341 is a wasteful number, since it uses less digits than its factorization.

142240212434341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10890086 (or 10890049 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 142240212434341 its reverse (143434212042241), we get a palindrome (285674424476582).

The spelling of 142240212434341 in words is "one hundred forty-two trillion, two hundred forty billion, two hundred twelve million, four hundred thirty-four thousand, three hundred forty-one".

Divisors: 1 7 29 37 47 203 259 329 1073 1363 1369 1739 7511 9541 9583 12173 39701 50431 64343 277907 353017 450401 1865947 10889929 13061629 76229503 315807941 402927373 511826663 2210655587 2820491611 3582786641 11684893817 14842973227 14908312801 18937586531 81794256719 103900812589 104358189607 132563105717 432341071229 549190009399 700690701647 3026387498603 3844330065793 4904834911529 20320030347763 142240212434341