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4401140432 = 241331773883
BaseRepresentation
bin1000001100101010…
…00001001011010000
3102100201112002200012
410012111001023100
533003142443212
62004415414052
7214031035133
oct40625011320
912321462605
104401140432
111959368a47
12a29b24328
13551a72110
142da73421a
151ab5b1922
hex1065412d0

4401140432 has 80 divisors (see below), whose sum is σ = 9502391808. Its totient is φ = 1961003520.

The previous prime is 4401140431. The next prime is 4401140453. The reversal of 4401140432 is 2340411044.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4401140398 and 4401140407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4401140431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4983863 + ... + 4984745.

Almost surely, 24401140432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4401140432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751195904).

4401140432 is an abundant number, since it is smaller than the sum of its proper divisors (5101251376).

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

4401140432 is a wasteful number, since it uses less digits than its factorization.

4401140432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4401140432 is about 66341.0915798044. The cubic root of 4401140432 is about 1638.7841017285.

Adding to 4401140432 its reverse (2340411044), we get a palindrome (6741551476).

The spelling of 4401140432 in words is "four billion, four hundred one million, one hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 773 806 883 1546 1612 1766 3092 3224 3532 6184 6448 7064 10049 11479 12368 14128 20098 22958 23963 27373 40196 45916 47926 54746 80392 91832 95852 109492 160784 183664 191704 218984 311519 355849 383408 437968 623038 682559 711698 1246076 1365118 1423396 2492152 2730236 2846792 4984304 5460472 5693584 8873267 10920944 17746534 21159329 35493068 42318658 70986136 84637316 141972272 169274632 275071277 338549264 550142554 1100285108 2200570216 4401140432