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4120044432 = 2437611791123
BaseRepresentation
bin1111010110010010…
…1110001110010000
3101122010120221110020
43311210232032100
531414212410212
61520454503440
7204045541230
oct36544561620
911563527406
104120044432
1118247263a9
1296b964b80
1350876291a
142b1281cc0
15191a88d8c
hexf592e390

4120044432 has 160 divisors (see below), whose sum is σ = 12443489280. Its totient is φ = 1150364160.

The previous prime is 4120044427. The next prime is 4120044433. The reversal of 4120044432 is 2344400214.

It is a happy number.

4120044432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41200444322 = 33949532243308405248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4120044433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3668223 + ... + 3669345.

It is an arithmetic number, because the mean of its divisors is an integer number (77771808).

Almost surely, 24120044432 is an apocalyptic number.

4120044432 is a gapful number since it is divisible by the number (42) 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 4120044432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6221744640).

4120044432 is an abundant number, since it is smaller than the sum of its proper divisors (8323444848).

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

4120044432 is a wasteful number, since it uses less digits than its factorization.

4120044432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4120044432 is about 64187.5722550713. The cubic root of 4120044432 is about 1603.1246791818.

Adding to 4120044432 its reverse (2344400214), we get a palindrome (6464444646).

The spelling of 4120044432 in words is "four billion, one hundred twenty million, forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 179 183 244 336 358 366 427 488 537 716 732 854 976 1074 1123 1253 1281 1432 1464 1708 2148 2246 2506 2562 2864 2928 3369 3416 3759 4296 4492 5012 5124 6738 6832 7518 7861 8592 8984 10024 10248 10919 13476 15036 15722 17968 20048 20496 21838 23583 26952 30072 31444 32757 43676 47166 53904 60144 62888 65514 68503 76433 87352 94332 125776 131028 137006 152866 174704 188664 201017 205509 229299 262056 274012 305732 377328 402034 411018 458598 479521 524112 548024 603051 611464 804068 822036 917196 959042 1096048 1206102 1222928 1407119 1438563 1608136 1644072 1834392 1918084 2412204 2814238 2877126 3216272 3288144 3668784 3836168 4221357 4824408 5628476 5754252 7672336 8442714 9648816 11256952 11508504 12262037 16885428 22513904 23017008 24524074 33770856 36786111 49048148 67541712 73572222 85834259 98096296 147144444 171668518 196192592 257502777 294288888 343337036 515005554 588577776 686674072 1030011108 1373348144 2060022216 4120044432