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13142224452141 = 33539859931529
BaseRepresentation
bin1011111100111110100110…
…0111101011101000101101
31201112101101012220021201000
42333033221213223220231
53210310233424432031
643541242104110513
72524331400451041
oct277175147535055
951471335807630
1013142224452141
11420764a0a4734
121583074465439
137443ca360785
14336130c58021
1517bcd58053e6
hexbf3e99eba2d

13142224452141 has 32 divisors (see below), whose sum is σ = 19839353328000. Its totient is φ = 8595290830464.

The previous prime is 13142224452089. The next prime is 13142224452199. The reversal of 13142224452141 is 14125442224131.

13142224452141 is a `hidden beast` number, since 1 + 3 + 1 + 42 + 2 + 24 + 452 + 141 = 666.

It is not a de Polignac number, because 13142224452141 - 211 = 13142224450093 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13142224452096 and 13142224452105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142224452641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13642465 + ... + 14573993.

It is an arithmetic number, because the mean of its divisors is an integer number (619979791500).

Almost surely, 213142224452141 is an apocalyptic number.

It is an amenable number.

13142224452141 is a deficient number, since it is larger than the sum of its proper divisors (6697128875859).

13142224452141 is an equidigital number, since it uses as much as digits as its factorization.

13142224452141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941450 (or 941444 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

Adding to 13142224452141 its reverse (14125442224131), we get a palindrome (27267666676272).

The spelling of 13142224452141 in words is "thirteen trillion, one hundred forty-two billion, two hundred twenty-four million, four hundred fifty-two thousand, one hundred forty-one".

Divisors: 1 3 9 27 53 159 477 1431 9859 29577 88731 266193 522527 931529 1567581 2794587 4702743 8383761 14108229 25151283 49371037 148113111 444339333 1333017999 9183944411 27551833233 82655499699 247966499097 486749053783 1460247161349 4380741484047 13142224452141