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4112504040 = 2335139373661
BaseRepresentation
bin1111010100011111…
…1101010011101000
3101121121101211222110
43311013331103220
531410300112130
61520025122320
7203624464461
oct36507752350
911547354873
104112504040
111820446177
129693293a0
13507022758
142b027bd68
15191099ab0
hexf51fd4e8

4112504040 has 128 divisors (see below), whose sum is σ = 12478435200. Its totient is φ = 1084216320.

The previous prime is 4112503999. The next prime is 4112504059. The reversal of 4112504040 is 404052114.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4112503998 and 4112504016.

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 31 ways as a sum of consecutive naturals, for example, 6221310 + ... + 6221970.

It is an arithmetic number, because the mean of its divisors is an integer number (97487775).

Almost surely, 24112504040 is an apocalyptic number.

4112504040 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 4112504040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239217600).

4112504040 is an abundant number, since it is smaller than the sum of its proper divisors (8365931160).

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

4112504040 is a wasteful number, since it uses less digits than its factorization.

4112504040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4112504040 is about 64128.8081910151. The cubic root of 4112504040 is about 1602.1460837076.

Adding to 4112504040 its reverse (404052114), we get a palindrome (4516556154).

The spelling of 4112504040 in words is "four billion, one hundred twelve million, five hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 373 417 556 661 695 746 834 1112 1119 1322 1390 1492 1668 1865 1983 2085 2238 2644 2780 2984 3305 3336 3730 3966 4170 4476 5288 5560 5595 6610 7460 7932 8340 8952 9915 11190 13220 14920 15864 16680 19830 22380 26440 39660 44760 51847 79320 91879 103694 155541 183758 207388 246553 259235 275637 311082 367516 414776 459395 493106 518470 551274 622164 735032 739659 777705 918790 986212 1036940 1102548 1232765 1244328 1378185 1479318 1555410 1837580 1972424 2073880 2205096 2465530 2756370 2958636 3110820 3675160 3698295 4931060 5512740 5917272 6221640 7396590 9862120 11025480 14793180 29586360 34270867 68541734 102812601 137083468 171354335 205625202 274166936 342708670 411250404 514063005 685417340 822500808 1028126010 1370834680 2056252020 4112504040