Search a number
-
+
34453431454224 = 2439743631696033
BaseRepresentation
bin1111101010101110100001…
…00010110000101000010000
311111222201022212122221022010
413311113100202300220100
514003441111423013344
6201135404330542520
710154115102226656
oct765272042605020
9144881285587263
1034453431454224
11aa83688947452
123a45380597a40
13162bc38502703
148717aac16dd6
153eb32d3de8b9
hex1f55d08b0a10

34453431454224 has 80 divisors (see below), whose sum is σ = 89942935353152. Its totient is φ = 11363468673024.

The previous prime is 34453431454213. The next prime is 34453431454261. The reversal of 34453431454224 is 42245413435443.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19466112 + ... + 21162144.

Almost surely, 234453431454224 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 34453431454224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44971467676576).

34453431454224 is an abundant number, since it is smaller than the sum of its proper divisors (55489503898928).

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

34453431454224 is a wasteful number, since it uses less digits than its factorization.

34453431454224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700504 (or 1700498 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 48.

Adding to 34453431454224 its reverse (42245413435443), we get a palindrome (76698844889667).

The spelling of 34453431454224 in words is "thirty-four trillion, four hundred fifty-three billion, four hundred thirty-one million, four hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1552 2328 4363 4656 8726 13089 17452 26178 34904 52356 69808 104712 209424 423211 846422 1269633 1692844 1696033 2539266 3385688 3392066 5078532 5088099 6771376 6784132 10157064 10176198 13568264 20314128 20352396 27136528 40704792 81409584 164515201 329030402 493545603 658060804 987091206 1316121608 1974182412 2632243216 3948364824 7399791979 7896729648 14799583958 22199375937 29599167916 44398751874 59198335832 88797503748 118396671664 177595007496 355190014992 717779821963 1435559643926 2153339465889 2871119287852 4306678931778 5742238575704 8613357863556 11484477151408 17226715727112 34453431454224