Search a number
-
+
13400922912 = 2531311299511
BaseRepresentation
bin11000111101100000…
…11101101100100000
31021120221012102022020
430132300131230200
5204421114013122
610053432141440
7653041652046
oct143660355440
937527172266
1013400922912
115757520803
12271bb37880
1313574773b0
14911ad0396
15536748c5c
hex31ec1db20

13400922912 has 96 divisors (see below), whose sum is σ = 37920919680. Its totient is φ = 4119275520.

The previous prime is 13400922859. The next prime is 13400922973. The reversal of 13400922912 is 21922900431.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1404237 + ... + 1413747.

It is an arithmetic number, because the mean of its divisors is an integer number (395009580).

Almost surely, 213400922912 is an apocalyptic number.

13400922912 is a gapful number since it is divisible by the number (12) 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 13400922912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18960459840).

13400922912 is an abundant number, since it is smaller than the sum of its proper divisors (24519996768).

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

13400922912 is a wasteful number, since it uses less digits than its factorization.

13400922912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10666 (or 10658 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 13400922912 in words is "thirteen billion, four hundred million, nine hundred twenty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1129 1248 2258 3387 4516 6774 9032 9511 13548 14677 18064 19022 27096 28533 29354 36128 38044 44031 54192 57066 58708 76088 88062 108384 114132 117416 123643 152176 176124 228264 234832 247286 304352 352248 370929 456528 469664 494572 704496 741858 913056 989144 1408992 1483716 1978288 2967432 3956576 5934864 10737919 11869728 21475838 32213757 42951676 64427514 85903352 128855028 139592947 171806704 257710056 279185894 343613408 418778841 515420112 558371788 837557682 1030840224 1116743576 1675115364 2233487152 3350230728 4466974304 6700461456 13400922912