Search a number
-
+
4233454011120 = 243565926766907
BaseRepresentation
bin111101100110101101100…
…001011100001011110000
3112222201021200121020022110
4331212231201130023300
51023330103211323440
613000453311405320
7614566636235205
oct75465541341360
915881250536273
104233454011120
111392441472544
1258457b223840
1324929cc66859
14108c86495cac
15751c63ce080
hex3d9ad85c2f0

4233454011120 has 80 divisors (see below), whose sum is σ = 13143622504320. Its totient is φ = 1127207945472.

The previous prime is 4233454011119. The next prime is 4233454011131. The reversal of 4233454011120 is 211104543324.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 13225294 + ... + 13541613.

It is an arithmetic number, because the mean of its divisors is an integer number (164295281304).

Almost surely, 24233454011120 is an apocalyptic number.

4233454011120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4233454011120 is an abundant number, since it is smaller than the sum of its proper divisors (8910168493200).

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

4233454011120 is a wasteful number, since it uses less digits than its factorization.

4233454011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26767582 (or 26767576 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 4233454011120 its reverse (211104543324), we get a palindrome (4444558554444).

The spelling of 4233454011120 in words is "four trillion, two hundred thirty-three billion, four hundred fifty-four million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 659 1318 1977 2636 3295 3954 5272 6590 7908 9885 10544 13180 15816 19770 26360 31632 39540 52720 79080 158160 26766907 53533814 80300721 107067628 133834535 160601442 214135256 267669070 321202884 401503605 428270512 535338140 642405768 803007210 1070676280 1284811536 1606014420 2141352560 3212028840 6424057680 17639391713 35278783426 52918175139 70557566852 88196958565 105836350278 141115133704 176393917130 211672700556 264590875695 282230267408 352787834260 423345401112 529181751390 705575668520 846690802224 1058363502780 1411151337040 2116727005560 4233454011120