Search a number
-
+
2401330233432 = 2331329265399009
BaseRepresentation
bin100010111100011010011…
…011111000000001011000
322111120020211111002011210
4202330122123320001120
5303320411014432212
65035053400423120
7335330126126454
oct42743233700130
98446224432153
102401330233432
11846442350259
12329488777aa0
131455a1664990
14843215a3664
15426e658953c
hex22f1a6f8058

2401330233432 has 64 divisors (see below), whose sum is σ = 6688055052000. Its totient is φ = 713392533504.

The previous prime is 2401330233431. The next prime is 2401330233433. The reversal of 2401330233432 is 2343320331042.

It is an interprime number because it is at equal distance from previous prime (2401330233431) and next prime (2401330233433).

It is a super-2 number, since 2×24013302334322 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2401330233432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401330233431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132690457 + ... + 132708552.

Almost surely, 22401330233432 is an apocalyptic number.

It is an amenable number.

2401330233432 is an abundant number, since it is smaller than the sum of its proper divisors (4286724818568).

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

2401330233432 is a wasteful number, since it uses less digits than its factorization.

2401330233432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265399060 (or 265399056 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 2401330233432 its reverse (2343320331042), we get a palindrome (4744650564474).

The spelling of 2401330233432 in words is "two trillion, four hundred one billion, three hundred thirty million, two hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 2262 3016 4524 9048 265399009 530798018 796197027 1061596036 1592394054 2123192072 3184788108 3450187117 6369576216 6900374234 7696571261 10350561351 13800748468 15393142522 20701122702 23089713783 27601496936 30786285044 41402245404 46179427566 61572570088 82804490808 92358855132 100055426393 184717710264 200110852786 300166279179 400221705572 600332558358 800443411144 1200665116716 2401330233432