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40243241440 = 2557311330491
BaseRepresentation
bin100101011110101011…
…110010000111100000
310211212121202111000201
4211132223302013200
51124404232211230
630253144154544
72623156623343
oct453653620740
9124777674021
1040243241440
1116081295a26
127971468a54
133a445998cc
141d3aa0845a
1510a80335ca
hex95eaf21e0

40243241440 has 96 divisors (see below), whose sum is σ = 97233133536. Its totient is φ = 15735767040.

The previous prime is 40243241417. The next prime is 40243241447. The reversal of 40243241440 is 4414234204.

40243241440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40243241399 and 40243241408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40243241447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1304595 + ... + 1335085.

It is an arithmetic number, because the mean of its divisors is an integer number (1012845141).

Almost surely, 240243241440 is an apocalyptic number.

40243241440 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 40243241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48616566768).

40243241440 is an abundant number, since it is smaller than the sum of its proper divisors (56989892096).

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

40243241440 is a wasteful number, since it uses less digits than its factorization.

40243241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30692 (or 30684 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 40243241440 its reverse (4414234204), we get a palindrome (44657475644).

The spelling of 40243241440 in words is "forty billion, two hundred forty-three million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 113 146 160 226 292 365 452 565 584 730 904 1130 1168 1460 1808 2260 2336 2920 3616 4520 5840 8249 9040 11680 16498 18080 30491 32996 41245 60982 65992 82490 121964 131984 152455 164980 243928 263968 304910 329960 487856 609820 659920 975712 1219640 1319840 2225843 2439280 3445483 4451686 4878560 6890966 8903372 11129215 13781932 17227415 17806744 22258430 27563864 34454830 35613488 44516860 55127728 68909660 71226976 89033720 110255456 137819320 178067440 251520259 275638640 356134880 503040518 551277280 1006081036 1257601295 2012162072 2515202590 4024324144 5030405180 8048648288 10060810360 20121620720 40243241440