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4024122240 = 273510132069
BaseRepresentation
bin1110111111011011…
…0011101110000000
3101101110002120221110
43233312303232000
531220133402430
61503150523320
7201502321545
oct35766635600
911343076843
104024122240
11178556a666
12943806540
134c1919228
142a2632bcc
1518843c7b0
hexefdb3b80

4024122240 has 128 divisors (see below), whose sum is σ = 12845757600. Its totient is φ = 1071521792.

The previous prime is 4024122227. The next prime is 4024122247. The reversal of 4024122240 is 422214204.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024122247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1943926 + ... + 1945994.

Almost surely, 24024122240 is an apocalyptic number.

4024122240 is a gapful number since it is divisible by the number (40) 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 4024122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6422878800).

4024122240 is an abundant number, since it is smaller than the sum of its proper divisors (8821635360).

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

4024122240 is a wasteful number, since it uses less digits than its factorization.

4024122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 3092 counting only the distinct ones).

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

The square root of 4024122240 is about 63435.9696071558. The cubic root of 4024122240 is about 1590.5856313517.

Adding to 4024122240 its reverse (422214204), we get a palindrome (4446336444).

It can be divided in two parts, 40241 and 22240, that added together give a triangular number (62481 = T353).

The spelling of 4024122240 in words is "four billion, twenty-four million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1013 1920 2026 2069 3039 4052 4138 5065 6078 6207 8104 8276 10130 10345 12156 12414 15195 16208 16552 20260 20690 24312 24828 30390 31035 32416 33104 40520 41380 48624 49656 60780 62070 64832 66208 81040 82760 97248 99312 121560 124140 129664 132416 162080 165520 194496 198624 243120 248280 264832 324160 331040 388992 397248 486240 496560 648320 662080 794496 972480 993120 1324160 1944960 1986240 2095897 3972480 4191794 6287691 8383588 10479485 12575382 16767176 20958970 25150764 31438455 33534352 41917940 50301528 62876910 67068704 83835880 100603056 125753820 134137408 167671760 201206112 251507640 268274816 335343520 402412224 503015280 670687040 804824448 1006030560 1341374080 2012061120 4024122240