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2124244440 = 233454115991
BaseRepresentation
bin111111010011101…
…0110010111011000
312111001010210120000
41332213112113120
513322301310230
6550441533000
7103432531323
oct17647262730
95431123500
102124244440
119a009831a
124b34a4160
1327b129196
1416219b7ba
15c6755b60
hex7e9d65d8

2124244440 has 160 divisors (see below), whose sum is σ = 7314420960. Its totient is φ = 552614400.

The previous prime is 2124244411. The next prime is 2124244483. The reversal of 2124244440 is 444424212.

2124244440 is a `hidden beast` number, since 212 + 4 + 2 + 4 + 4 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 124845 + ... + 140835.

It is an arithmetic number, because the mean of its divisors is an integer number (45715131).

Almost surely, 22124244440 is an apocalyptic number.

2124244440 is a gapful number since it is divisible by the number (20) 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 2124244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657210480).

2124244440 is an abundant number, since it is smaller than the sum of its proper divisors (5190176520).

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

2124244440 is a wasteful number, since it uses less digits than its factorization.

2124244440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16055 (or 16042 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 2124244440 is about 46089.5263590330. The cubic root of 2124244440 is about 1285.4884041277.

Adding to 2124244440 its reverse (444424212), we get a palindrome (2568668652).

The spelling of 2124244440 in words is "two billion, one hundred twenty-four million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 81 82 90 108 120 123 135 162 164 180 205 216 246 270 324 328 360 369 405 410 492 540 615 648 738 810 820 984 1080 1107 1230 1476 1620 1640 1845 2214 2460 2952 3240 3321 3690 4428 4920 5535 6642 7380 8856 11070 13284 14760 15991 16605 22140 26568 31982 33210 44280 47973 63964 66420 79955 95946 127928 132840 143919 159910 191892 239865 287838 319820 383784 431757 479730 575676 639640 655631 719595 863514 959460 1151352 1295271 1311262 1439190 1727028 1918920 1966893 2158785 2590542 2622524 2878380 3278155 3454056 3933786 4317570 5181084 5245048 5756760 5900679 6476355 6556310 7867572 8635140 9834465 10362168 11801358 12952710 13112620 15735144 17270280 17702037 19668930 23602716 25905420 26225240 29503395 35404074 39337860 47205432 51810840 53106111 59006790 70808148 78675720 88510185 106212222 118013580 141616296 177020370 212424444 236027160 265530555 354040740 424848888 531061110 708081480 1062122220 2124244440