Search a number
-
+
142240333214421 = 33137153511066651
BaseRepresentation
bin100000010101110111101000…
…100010001011001011010101
3200122122001011101102122211000
4200111313220202023023111
5122120431200300330141
61222304150150533513
741650345025305431
oct4025675042131325
9618561141378730
10142240333214421
114135a8719a1192
1213b53167967299
13614a28a3a3390
14271a67c7a79c1
151169ee67e55b6
hex815de888b2d5

142240333214421 has 64 divisors (see below), whose sum is σ = 230175651041280. Its totient is φ = 86283451800000.

The previous prime is 142240333214393. The next prime is 142240333214449. The reversal of 142240333214421 is 124412333042241.

142240333214421 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 403 + 33 + 214 + 4 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (142240333214393) and next prime (142240333214449).

It is a de Polignac number, because none of the positive numbers 2k-142240333214421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142240333210421) 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, 132818946 + ... + 133885596.

It is an arithmetic number, because the mean of its divisors is an integer number (3596494547520).

Almost surely, 2142240333214421 is an apocalyptic number.

It is an amenable number.

142240333214421 is a deficient number, since it is larger than the sum of its proper divisors (87935317826859).

142240333214421 is a wasteful number, since it uses less digits than its factorization.

142240333214421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072095 (or 1072089 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 142240333214421 its reverse (124412333042241), we get a palindrome (266652666256662).

The spelling of 142240333214421 in words is "one hundred forty-two trillion, two hundred forty billion, three hundred thirty-three million, two hundred fourteen thousand, four hundred twenty-one".

Divisors: 1 3 9 13 27 39 71 117 213 351 639 923 1917 2769 5351 8307 16053 24921 48159 69563 144477 208689 379921 626067 1066651 1139763 1878201 3199953 3419289 4938973 9599859 10257867 13866463 14816919 28799577 41599389 44450757 75732221 124798167 133352271 227196663 374394501 681589989 984518873 2044769967 2953556619 5707649501 8860669857 17122948503 26582009571 51368845509 74199443513 154106536527 222598330539 405243114571 667794991617 1215729343713 2003384974851 3647188031139 5268160489423 10941564093417 15804481468269 47413444404807 142240333214421