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1303414142112 = 25334136794663
BaseRepresentation
bin10010111101111001100…
…010010111010010100000
311121121100011122211202000
4102331321202113102200
5132323343010021422
62434440304324000
7163111550256435
oct22757142272240
94547304584660
101303414142112
11462858337745
1219073a913600
1395bb0532284
144712ab97b8c
1523d88a22cac
hex12f798974a0

1303414142112 has 96 divisors (see below), whose sum is σ = 3894347237760. Its totient is φ = 423874506240.

The previous prime is 1303414142053. The next prime is 1303414142113. The reversal of 1303414142112 is 2112414143031.

It is a happy number.

1303414142112 is a `hidden beast` number, since 1 + 3 + 0 + 34 + 1 + 414 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1303414142113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18361908 + ... + 18432755.

It is an arithmetic number, because the mean of its divisors is an integer number (40566117060).

Almost surely, 21303414142112 is an apocalyptic number.

1303414142112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1303414142112 is an abundant number, since it is smaller than the sum of its proper divisors (2590933095648).

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

1303414142112 is a wasteful number, since it uses less digits than its factorization.

1303414142112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36794723 (or 36794709 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1303414142112 its reverse (2112414143031), we get a palindrome (3415828285143).

The spelling of 1303414142112 in words is "one trillion, three hundred three billion, four hundred fourteen million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 984 1107 1312 1476 1968 2214 2952 3936 4428 5904 8856 11808 17712 35424 36794663 73589326 110383989 147178652 220767978 294357304 331151967 441535956 588714608 662303934 883071912 993455901 1177429216 1324607868 1508581183 1766143824 1986911802 2649215736 3017162366 3532287648 3973823604 4525743549 5298431472 6034324732 7947647208 9051487098 10596862944 12068649464 13577230647 15895294416 18102974196 24137298928 27154461294 31790588832 36205948392 40731691941 48274597856 54308922588 72411896784 81463383882 108617845176 144823793568 162926767764 217235690352 325853535528 434471380704 651707071056 1303414142112