Search a number
-
+
142131202132419 = 3347675932819021
BaseRepresentation
bin100000010100010001111111…
…110100001000100111000011
3200122020121110212001021212000
4200110101333310020213003
5122112134200221214134
61222142101201035043
741636432454360543
oct4024217764104703
9618217425037760
10142131202132419
1141318560284025
1213b35b90025a83
13613cbb7c09546
142715288b6d323
15116725ab39e99
hex81447fd089c3

142131202132419 has 64 divisors (see below), whose sum is σ = 218622598318080. Its totient is φ = 91199852536320.

The previous prime is 142131202132369. The next prime is 142131202132421. The reversal of 142131202132419 is 914231202131241.

142131202132419 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 3 + 1 + 20 + 213 + 2 + 419 = 666.

It is not a de Polignac number, because 142131202132419 - 27 = 142131202132291 is a prime.

It is a super-2 number, since 2×1421312021324192 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142131202132459) 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, 49009129 + ... + 51828149.

It is an arithmetic number, because the mean of its divisors is an integer number (3415978098720).

Almost surely, 2142131202132419 is an apocalyptic number.

142131202132419 is a deficient number, since it is larger than the sum of its proper divisors (76491396185661).

142131202132419 is a wasteful number, since it uses less digits than its factorization.

142131202132419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819737 (or 2819731 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 142131202132419 in words is "one hundred forty-two trillion, one hundred thirty-one billion, two hundred two million, one hundred thirty-two thousand, four hundred nineteen".

Divisors: 1 3 9 27 47 67 141 201 423 593 603 1269 1779 1809 3149 5337 9447 16011 27871 28341 39731 83613 85023 119193 250839 357579 752517 1072737 1867357 2819021 5602071 8457063 16806213 25371189 50418639 76113567 132493987 188874407 397481961 566623221 1192445883 1671679453 1699869663 3577337649 5015038359 5099608989 8877097129 15045115077 26631291387 45135345231 78568934291 79893874161 112002523351 235706802873 239681622483 336007570053 707120408619 1008022710159 2121361225857 3024068130477 5264118597497 15792355792491 47377067377473 142131202132419