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13385140944 = 2437172718647
BaseRepresentation
bin11000111011101000…
…10000101011010000
31021112211111121111220
430131310100223100
5204403044002234
610052110005040
7652460551350
oct143564205320
937484447456
1013385140944
11574962155a
1227167a6780
13135410cb56
1490d982b60
1553517ca49
hex31dd10ad0

13385140944 has 160 divisors (see below), whose sum is σ = 42001883136. Its totient is φ = 3585669120.

The previous prime is 13385140897. The next prime is 13385140963. The reversal of 13385140944 is 44904158331.

It is a super-2 number, since 2×133851409442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13385140896 and 13385140905.

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, 1543629 + ... + 1552275.

Almost surely, 213385140944 is an apocalyptic number.

13385140944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13385140944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21000941568).

13385140944 is an abundant number, since it is smaller than the sum of its proper divisors (28616742192).

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

13385140944 is a wasteful number, since it uses less digits than its factorization.

13385140944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8953 (or 8947 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 13385140944 in words is "thirteen billion, three hundred eighty-five million, one hundred forty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 271 272 336 357 408 476 542 714 813 816 952 1084 1428 1626 1897 1904 2168 2856 3252 3794 4336 4607 5691 5712 6504 7588 8647 9214 11382 13008 13821 15176 17294 18428 22764 25941 27642 30352 32249 34588 36856 45528 51882 55284 60529 64498 69176 73712 91056 96747 103764 110568 121058 128996 138352 146999 181587 193494 207528 221136 242116 257992 293998 363174 386988 415056 440997 484232 515984 587996 726348 773976 881994 968464 1028993 1175992 1452696 1547952 1763988 2057986 2343337 2351984 2905392 3086979 3527976 4115972 4686674 6173958 7030011 7055952 8231944 9373348 12347916 14060022 16403359 16463888 18746696 24695832 28120044 32806718 37493392 39836729 49210077 49391664 56240088 65613436 79673458 98420154 112480176 119510187 131226872 159346916 196840308 239020374 262453744 278857103 318693832 393680616 478040748 557714206 637387664 787361232 836571309 956081496 1115428412 1673142618 1912162992 2230856824 3346285236 4461713648 6692570472 13385140944