Search a number
-
+
1224365270420 = 2254310114994603
BaseRepresentation
bin10001110100010001110…
…110110110010110010100
311100001022010021002111102
4101310101312312112110
5130030000002123140
62334244324525232
7154312625040605
oct21642166662624
94301263232442
101224365270420
11432283304416
12179359550818
138b5c3485996
144338c487dac
1521cadccee15
hex11d11db6594

1224365270420 has 96 divisors (see below), whose sum is σ = 2674871337600. Its totient is φ = 470436825600.

The previous prime is 1224365270369. The next prime is 1224365270459. The reversal of 1224365270420 is 240725634221.

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, 12894839 + ... + 12989441.

It is an arithmetic number, because the mean of its divisors is an integer number (27863243100).

Almost surely, 21224365270420 is an apocalyptic number.

1224365270420 is a gapful number since it is divisible by the number (10) 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 1224365270420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337435668800).

1224365270420 is an abundant number, since it is smaller than the sum of its proper divisors (1450506067180).

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

1224365270420 is a wasteful number, since it uses less digits than its factorization.

1224365270420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94905 (or 94903 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The spelling of 1224365270420 in words is "one trillion, two hundred twenty-four billion, three hundred sixty-five million, two hundred seventy thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 101 149 172 202 215 298 404 430 505 596 745 860 1010 1490 2020 2980 4343 6407 8686 12814 15049 17372 21715 25628 30098 32035 43430 60196 64070 75245 86860 94603 128140 150490 189206 300980 378412 473015 647107 946030 1294214 1892060 2588428 3235535 4067929 6471070 8135858 9554903 12942140 14095847 16271716 19109806 20339645 28191694 38219612 40679290 47774515 56383388 70479235 81358580 95549030 140958470 191098060 281916940 410860829 606121421 821721658 1212242842 1423680547 1643443316 2054304145 2424485684 2847361094 3030607105 4108608290 5694722188 6061214210 7118402735 8217216580 12122428420 14236805470 28473610940 61218263521 122436527042 244873054084 306091317605 612182635210 1224365270420