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2444434044012 = 22322376117532213
BaseRepresentation
bin100011100100100011100…
…111110111010001101100
322122200111210220112100200
4203210203213313101230
5310022200103402022
65110542452553500
7341414232355632
oct43444347672154
98580453815320
102444434044012
11862751323104
123358b8022890
1314968077783c
148645007b352
15438ba7bdbac
hex239239f746c

2444434044012 has 144 divisors (see below), whose sum is σ = 6462712122048. Its totient is φ = 777565071360.

The previous prime is 2444434043983. The next prime is 2444434044029. The reversal of 2444434044012 is 2104404344442.

It is a happy number.

2444434044012 is a `hidden beast` number, since 244 + 4 + 4 + 3 + 4 + 0 + 4 + 401 + 2 = 666.

It is a super-2 number, since 2×24444340440122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1104578218 + ... + 1104580430.

It is an arithmetic number, because the mean of its divisors is an integer number (44879945292).

Almost surely, 22444434044012 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 2444434044012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231356061024).

2444434044012 is an abundant number, since it is smaller than the sum of its proper divisors (4018278078036).

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

2444434044012 is a wasteful number, since it uses less digits than its factorization.

2444434044012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4760 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 2444434044012 its reverse (2104404344442), we get a palindrome (4548838388454).

The spelling of 2444434044012 in words is "two trillion, four hundred forty-four billion, four hundred thirty-four million, forty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 761 828 1522 1753 2213 2283 3044 3506 4426 4566 5259 6639 6849 7012 8852 9132 10518 13278 13698 15777 17503 19917 21036 26556 27396 31554 35006 39834 40319 50899 52509 63108 70012 79668 80638 101798 105018 120957 152697 157527 161276 203596 210036 241914 305394 315054 362871 458091 483828 610788 630108 725742 916182 1334033 1451484 1684093 1832364 2668066 3368186 3879389 4002099 5052279 5336132 6736372 7758778 8004198 10104558 11638167 12006297 15156837 15517556 16008396 20209116 23276334 24012594 30313674 30682759 34914501 38734139 46552668 48025188 60627348 61365518 69829002 77468278 89225947 92048277 116202417 122731036 139658004 154936556 178451894 184096554 232404834 267677841 276144831 348607251 356903788 368193108 464809668 535355682 552289662 697214502 803033523 1070711364 1104579324 1394429004 1606067046 2952215029 3212134092 5904430058 8856645087 11808860116 17713290174 26569935261 35426580348 53139870522 67900945667 106279741044 135801891334 203702837001 271603782668 407405674002 611108511003 814811348004 1222217022006 2444434044012