Search a number
-
+
142360351264461 = 311291013533416881
BaseRepresentation
bin100000010111100111011010…
…001010101100111011001101
3200200001111221122120022022110
4200113213122022230323031
5122124412444410430321
61222435235330134233
741662124134016031
oct4027473212547315
9620044848508273
10142360351264461
11413a675aa645a0
1213b72481721379
1361586a623a435
1427223c628c1c1
15116d1bd164176
hex8179da2acecd

142360351264461 has 64 divisors (see below), whose sum is σ = 216392573917440. Its totient is φ = 82455528960000.

The previous prime is 142360351264459. The next prime is 142360351264489. The reversal of 142360351264461 is 164462153063241.

It is not a de Polignac number, because 142360351264461 - 21 = 142360351264459 is a prime.

It is a super-2 number, since 2×1423603512644612 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 142360351264461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142360351260461) 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, 341280741 + ... + 341697621.

It is an arithmetic number, because the mean of its divisors is an integer number (3381133967460).

Almost surely, 2142360351264461 is an apocalyptic number.

142360351264461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142360351264461 is a deficient number, since it is larger than the sum of its proper divisors (74032222652979).

142360351264461 is a wasteful number, since it uses less digits than its factorization.

142360351264461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420558.

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 142360351264461 in words is "one hundred forty-two trillion, three hundred sixty billion, three hundred fifty-one million, two hundred sixty-four thousand, four hundred sixty-one".

Divisors: 1 3 11 29 33 87 101 303 319 957 1111 2929 3333 3533 8787 10599 32219 38863 96657 102457 116589 307371 356833 416881 1070499 1127027 1250643 3381081 3925163 4585691 10348157 11775489 12089549 13757073 31044471 36268647 42104981 113829727 126314943 132985039 341489181 398955117 463154791 1221044449 1389464373 1472840573 3663133347 4418521719 13431488939 16201246303 40294466817 42712376617 48603738909 128137129851 148756897873 446270693619 469836142787 1409508428361 1636325876603 4313950038317 4908977629809 12941850114951 47453450421487 142360351264461