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40243004120 = 23511376733673
BaseRepresentation
bin100101011110101010…
…111000001011011000
310211212121022102111002
4211132222320023120
51124404202112440
630253135124132
72623154614424
oct453652701330
9124777272432
1040243004120
11160811436a0
127971373648
133a44515897
141d3a985b84
1510a7ed8115
hex95eab82d8

40243004120 has 128 divisors (see below), whose sum is σ = 101626367040. Its totient is φ = 14213283840.

The previous prime is 40243004101. The next prime is 40243004149. The reversal of 40243004120 is 2140034204.

40243004120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40243004092 and 40243004101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10954604 + ... + 10958276.

Almost surely, 240243004120 is an apocalyptic number.

40243004120 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 40243004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50813183520).

40243004120 is an abundant number, since it is smaller than the sum of its proper divisors (61383362920).

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

40243004120 is a wasteful number, since it uses less digits than its factorization.

40243004120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4405 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 40243004120 its reverse (2140034204), we get a palindrome (42383038324).

The spelling of 40243004120 in words is "forty billion, two hundred forty-three million, four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 673 740 814 1346 1480 1628 2035 2692 3256 3365 3673 4070 5384 6730 7346 7403 8140 13460 14692 14806 16280 18365 24901 26920 29384 29612 36730 37015 40403 49802 59224 73460 74030 80806 99604 124505 135901 146920 148060 161612 199208 202015 249010 271802 273911 296120 323224 404030 498020 543604 547822 679505 808060 996040 1087208 1095644 1359010 1369555 1494911 1616120 2191288 2471929 2718020 2739110 2989822 4943858 5436040 5478220 5979644 7474555 9887716 10956440 11959288 12359645 14949110 19775432 24719290 27191219 29898220 49438580 54382438 59796440 91461373 98877160 108764876 135956095 182922746 217529752 271912190 365845492 457306865 543824380 731690984 914613730 1006075103 1087648760 1829227460 2012150206 3658454920 4024300412 5030375515 8048600824 10060751030 20121502060 40243004120