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13142333404112 = 24111761101712951
BaseRepresentation
bin1011111100111111000000…
…0111010011001111010000
31201112101122210220121201012
42333033300013103033100
53210310444322412422
643541300555230052
72524334162516213
oct277176007231720
951471583817635
1013142333404112
1142076a564a990
1215830a4a48328
13744416ab9ab3
143361414d977a
1517bce01774e2
hexbf3f01d33d0

13142333404112 has 160 divisors (see below), whose sum is σ = 30190311767808. Its totient is φ = 5475456000000.

The previous prime is 13142333404103. The next prime is 13142333404177. The reversal of 13142333404112 is 21140433324131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18077237 + ... + 18790187.

Almost surely, 213142333404112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13142333404112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095155883904).

13142333404112 is an abundant number, since it is smaller than the sum of its proper divisors (17047978363696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13142333404112 is a wasteful number, since it uses less digits than its factorization.

13142333404112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713149 (or 713143 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 13142333404112 its reverse (21140433324131), we get a palindrome (34282766728243).

The spelling of 13142333404112 in words is "thirteen trillion, one hundred forty-two billion, three hundred thirty-three million, four hundred four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 34 44 61 68 88 101 122 136 176 187 202 244 272 374 404 488 671 748 808 976 1037 1111 1342 1496 1616 1717 2074 2222 2684 2992 3434 4148 4444 5368 6161 6868 8296 8888 10736 11407 12322 13736 16592 17776 18887 22814 24644 27472 37774 45628 49288 67771 75548 91256 98576 104737 135542 151096 182512 209474 271084 302192 418948 542168 712951 837896 1084336 1152107 1425902 1675792 2304214 2851804 4608428 5703608 7842461 9216856 11407216 12120167 15684922 18433712 24240334 31369844 43490011 48480668 62739688 72008051 86980022 96961336 125479376 133321837 144016102 173960044 193922672 266643674 288032204 347920088 478390121 533287348 576064408 695840176 739330187 792088561 956780242 1066574696 1152128816 1224136867 1478660374 1584177122 1913560484 2133149392 2448273734 2957320748 3168354244 3827120968 4392491111 4896547468 5914641496 6336708488 7654241936 8132632057 8784982222 9793094936 11829282992 12673416976 13465505537 16265264114 17569964444 19586189872 26931011074 32530528228 35139928888 48317402221 53862022148 65061056456 70279857776 74672348887 96634804442 107724044296 130122112912 149344697774 193269608884 215448088592 298689395548 386539217768 597378791096 773078435536 821395837757 1194757582192 1642791675514 3285583351028 6571166702056 13142333404112