Search a number
-
+
13302111001344 = 283112143144273
BaseRepresentation
bin1100000110010010001110…
…0110011101101100000000
31202002200001222122112110120
43001210203212131230000
53220420210404020334
644142523323500240
72542021465630644
oct301444346355400
952080058575416
1013302111001344
114269436969600
1215aa056087680
137564cac57439
1433db7b678c24
15181042332949
hexc192399db00

13302111001344 has 108 divisors (see below), whose sum is σ = 38914057175448. Its totient is φ = 4030942699520.

The previous prime is 13302111001343. The next prime is 13302111001349. The reversal of 13302111001344 is 44310011120331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13302111001343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71479209 + ... + 71665064.

Almost surely, 213302111001344 is an apocalyptic number.

It is an amenable number.

13302111001344 is an abundant number, since it is smaller than the sum of its proper divisors (25611946174104).

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

13302111001344 is a wasteful number, since it uses less digits than its factorization.

13302111001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143144314 (or 143144289 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13302111001344 its reverse (44310011120331), we get a palindrome (57612122121675).

The spelling of 13302111001344 in words is "thirteen trillion, three hundred two billion, one hundred eleven million, one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 528 704 726 768 968 1056 1408 1452 1936 2112 2816 2904 3872 4224 5808 7744 8448 11616 15488 23232 30976 46464 92928 143144273 286288546 429432819 572577092 858865638 1145154184 1574587003 1717731276 2290308368 3149174006 3435462552 4580616736 4723761009 6298348012 6870925104 9161233472 9447522018 12596696024 13741850208 17320457033 18322466944 18895044036 25193392048 27483700416 34640914066 36644933888 37790088072 50386784096 51961371099 54967400832 69281828132 75580176144 100773568192 103922742198 109934801664 138563656264 151160352288 201547136384 207845484396 277127312528 302320704576 403094272768 415690968792 554254625056 604641409152 831381937584 1108509250112 1209282818304 1662763875168 2217018500224 3325527750336 4434037000448 6651055500672 13302111001344