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40431301440 = 263542115939
BaseRepresentation
bin100101101001111001…
…001011001101000000
310212100201121220211220
4211221321023031000
51130300403121230
630323543035040
72630632251255
oct455171131500
9125321556756
1040431301440
1116168463212
127a0443ba80
133a7453330a
141d5799d42c
1510b97ced10
hex969e4b340

40431301440 has 56 divisors (see below), whose sum is σ = 128369385120. Its totient is φ = 10781680128.

The previous prime is 40431301409. The next prime is 40431301447. The reversal of 40431301440 is 4410313404.

It is a super-2 number, since 2×404313014402 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40431301440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40431301447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21057010 + ... + 21058929.

Almost surely, 240431301440 is an apocalyptic number.

40431301440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40431301440 is an abundant number, since it is smaller than the sum of its proper divisors (87938083680).

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

40431301440 is a wasteful number, since it uses less digits than its factorization.

40431301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42115959 (or 42115949 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 40431301440 its reverse (4410313404), we get a palindrome (44841614844).

The spelling of 40431301440 in words is "forty billion, four hundred thirty-one million, three hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 42115939 84231878 126347817 168463756 210579695 252695634 336927512 421159390 505391268 631739085 673855024 842318780 1010782536 1263478170 1347710048 1684637560 2021565072 2526956340 2695420096 3369275120 4043130144 5053912680 6738550240 8086260288 10107825360 13477100480 20215650720 40431301440