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4122132432 = 2431140119469
BaseRepresentation
bin1111010110110010…
…1011111111010000
3101122021112000122120
43311230223333100
531420231214212
61521011334240
7204102355545
oct36554537720
911567460576
104122132432
111825922120
129705b1380
13509014122
142b1666bcc
15191d4c88c
hexf5b2bfd0

4122132432 has 80 divisors (see below), whose sum is σ = 11646486720. Its totient is φ = 1245952000.

The previous prime is 4122132397. The next prime is 4122132433. The reversal of 4122132432 is 2342312214.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122132433) 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, 201994 + ... + 221462.

It is an arithmetic number, because the mean of its divisors is an integer number (145581084).

Almost surely, 24122132432 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 4122132432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5823243360).

4122132432 is an abundant number, since it is smaller than the sum of its proper divisors (7524354288).

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

4122132432 is a wasteful number, since it uses less digits than its factorization.

4122132432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19892 (or 19886 counting only the distinct ones).

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

The square root of 4122132432 is about 64203.8350256431. The cubic root of 4122132432 is about 1603.3954496455.

Adding to 4122132432 its reverse (2342312214), we get a palindrome (6464444646).

The spelling of 4122132432 in words is "four billion, one hundred twenty-two million, one hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 401 528 802 1203 1604 2406 3208 4411 4812 6416 8822 9624 13233 17644 19248 19469 26466 35288 38938 52932 58407 70576 77876 105864 116814 155752 211728 214159 233628 311504 428318 467256 642477 856636 934512 1284954 1713272 2569908 3426544 5139816 7807069 10279632 15614138 23421207 31228276 46842414 62456552 85877759 93684828 124913104 171755518 187369656 257633277 343511036 374739312 515266554 687022072 1030533108 1374044144 2061066216 4122132432