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1440420432 = 243115351473
BaseRepresentation
bin101010111011011…
…0001001001010000
310201101101221100220
41111312301021100
510422221423212
6354533113040
750460241323
oct12566611120
93641357326
101440420432
1167a097210
12342488780
1319c5617a9
14d94347ba
15866cb38c
hex55db1250

1440420432 has 80 divisors (see below), whose sum is σ = 4136038848. Its totient is φ = 428247040.

The previous prime is 1440420403. The next prime is 1440420433. The reversal of 1440420432 is 2340240441.

It is a happy number.

It is a super-2 number, since 2×14404204322 = 4149622041846133248, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440420433) 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, 2248 + ... + 53720.

Almost surely, 21440420432 is an apocalyptic number.

1440420432 is a gapful number since it is divisible by the number (12) 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 1440420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068019424).

1440420432 is an abundant number, since it is smaller than the sum of its proper divisors (2695618416).

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

1440420432 is a wasteful number, since it uses less digits than its factorization.

1440420432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51548 (or 51542 counting only the distinct ones).

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

The square root of 1440420432 is about 37952.8711957343. The cubic root of 1440420432 is about 1129.3531244242.

Adding to 1440420432 its reverse (2340240441), we get a palindrome (3780660873).

Subtracting 1440420432 from its reverse (2340240441), we obtain a square (899820009 = 299972).

The spelling of 1440420432 in words is "one billion, four hundred forty million, four hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 106 132 159 176 212 264 318 424 528 583 636 848 1166 1272 1749 2332 2544 3498 4664 6996 9328 13992 27984 51473 102946 154419 205892 308838 411784 566203 617676 823568 1132406 1235352 1698609 2264812 2470704 2728069 3397218 4529624 5456138 6794436 8184207 9059248 10912276 13588872 16368414 21824552 27177744 30008759 32736828 43649104 60017518 65473656 90026277 120035036 130947312 180052554 240070072 360105108 480140144 720210216 1440420432