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4022241024 = 28319373739
BaseRepresentation
bin1110111110111110…
…1000011100000000
3101101022120000101210
43233233220130000
531214143203044
61503042330120
7201450325134
oct35757503400
911338500353
104022241024
1117844a523a
12943059940
134c140ab99
142a22a33c4
151881ba1b9
hexefbe8700

4022241024 has 144 divisors (see below), whose sum is σ = 11313948800. Its totient is φ = 1265061888.

The previous prime is 4022241023. The next prime is 4022241037. The reversal of 4022241024 is 4201422204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022241023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5442447 + ... + 5443185.

Almost surely, 24022241024 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 4022241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5656974400).

4022241024 is an abundant number, since it is smaller than the sum of its proper divisors (7291707776).

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

4022241024 is a wasteful number, since it uses less digits than its factorization.

4022241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4022241024 is about 63421.1401978867. The cubic root of 4022241024 is about 1590.3377345138.

Adding to 4022241024 its reverse (4201422204), we get a palindrome (8223663228).

The spelling of 4022241024 in words is "four billion, twenty-two million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 373 384 456 608 739 746 768 912 1119 1216 1478 1492 1824 2217 2238 2432 2956 2984 3648 4434 4476 4864 5912 5968 7087 7296 8868 8952 11824 11936 14041 14174 14592 17736 17904 21261 23648 23872 28082 28348 35472 35808 42123 42522 47296 47744 56164 56696 70944 71616 84246 85044 94592 95488 112328 113392 141888 143232 168492 170088 189184 224656 226784 275647 283776 286464 336984 340176 449312 453568 551294 567552 673968 680352 826941 898624 907136 1102588 1347936 1360704 1653882 1797248 1814272 2205176 2695872 2721408 3307764 3594496 4410352 5237293 5391744 5442816 6615528 8820704 10474586 10783488 13231056 15711879 17641408 20949172 26462112 31423758 35282816 41898344 52924224 62847516 70565632 83796688 105848448 125695032 167593376 211696896 251390064 335186752 502780128 670373504 1005560256 1340747008 2011120512 4022241024