Search a number
-
+
13433431104 = 263233170459
BaseRepresentation
bin11001000001011000…
…11110010001000000
31021200012101000011100
430200230132101000
5210002424243404
610100553014400
7653615165112
oct144054362100
937605330140
1013433431104
115773904685
12272a9b4400
131361119c02
149161533b2
1553951ad39
hex320b1e440

13433431104 has 84 divisors (see below), whose sum is σ = 38621380720. Its totient is φ = 4464218880.

The previous prime is 13433431103. The next prime is 13433431111. The reversal of 13433431104 is 40113433431.

13433431104 is a `hidden beast` number, since 1 + 343 + 3 + 4 + 311 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (13433431103) 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, 155427 + ... + 225885.

Almost surely, 213433431104 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 13433431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19310690360).

13433431104 is an abundant number, since it is smaller than the sum of its proper divisors (25187949616).

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

13433431104 is a wasteful number, since it uses less digits than its factorization.

13433431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70808 (or 70795 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13433431104 its reverse (40113433431), we get a palindrome (53546864535).

The spelling of 13433431104 in words is "thirteen billion, four hundred thirty-three million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 331 576 662 993 1324 1986 2648 2979 3972 5296 5958 7944 10592 11916 15888 21184 23832 31776 47664 63552 70459 95328 140918 190656 211377 281836 422754 563672 634131 845508 1127344 1268262 1691016 2254688 2536524 3382032 4509376 5073048 6764064 10146096 13528128 20292192 23321929 40584384 46643858 69965787 93287716 139931574 186575432 209897361 279863148 373150864 419794722 559726296 746301728 839589444 1119452592 1492603456 1679178888 2238905184 3358357776 4477810368 6716715552 13433431104