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13376329448144 = 241319892427307
BaseRepresentation
bin1100001010100110101101…
…0111010111101011010000
31202100202122101202021110112
43002221223113113223100
53223124210314320034
644241000110420452
72550256625211215
oct302515327275320
952322571667415
1013376329448144
114297962287143
121600509801728
137604c8338c50
143435bc629b0c
15182e37e687ce
hexc2a6b5d7ad0

13376329448144 has 120 divisors (see below), whose sum is σ = 29713066887840. Its totient is φ = 5783029502976.

The previous prime is 13376329448117. The next prime is 13376329448147. The reversal of 13376329448144 is 44184492367331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13376329448147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31090139 + ... + 31517445.

It is an arithmetic number, because the mean of its divisors is an integer number (247608890732).

Almost surely, 213376329448144 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 13376329448144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856533443920).

13376329448144 is an abundant number, since it is smaller than the sum of its proper divisors (16336737439696).

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

13376329448144 is a wasteful number, since it uses less digits than its factorization.

13376329448144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427525 (or 427430 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 59.

The spelling of 13376329448144 in words is "thirteen trillion, three hundred seventy-six billion, three hundred twenty-nine million, four hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 89 104 152 178 208 247 304 356 494 712 988 1157 1424 1691 1976 2314 3382 3952 4628 6764 7921 9256 13528 15842 18512 21983 27056 31684 43966 63368 87932 102973 126736 150499 175864 205946 300998 351728 411892 427307 601996 823784 854614 1203992 1647568 1709228 1956487 2407984 3418456 3912974 5554991 6836912 7825948 8118833 11109982 15651896 16237666 22219964 31303792 32475332 38030323 44439928 64950664 76060646 88879856 105544829 129901328 152121292 211089658 304242584 422179316 494394199 608485168 722576137 844358632 988788398 1445152274 1688717264 1977576796 2890304548 3384698747 3955153592 5780609096 6769397494 7910307184 9393489781 11561218192 13538794988 18786979562 27077589976 37573959124 44001083711 54155179952 64309276193 75147918248 88002167422 128618552386 150295836496 176004334844 257237104772 352008669688 514474209544 704017339376 836020590509 1028948419088 1672041181018 3344082362036 6688164724072 13376329448144