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2141245304 = 2311891312087
BaseRepresentation
bin111111110100000…
…1100111101111000
312112020010112100122
41333220030331320
513341124322204
6552250152412
7104030166452
oct17750147570
95466115318
102141245304
119a974a320
124b9122708
132817cc473
141645452d2
15c7eb30be
hex7fa0cf78

2141245304 has 64 divisors (see below), whose sum is σ = 4464979200. Its totient is φ = 954553600.

The previous prime is 2141245303. The next prime is 2141245333. The reversal of 2141245304 is 4035421412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141245303) 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, 1024949 + ... + 1027035.

It is an arithmetic number, because the mean of its divisors is an integer number (69765300).

Almost surely, 22141245304 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 2141245304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232489600).

2141245304 is an abundant number, since it is smaller than the sum of its proper divisors (2323733896).

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

2141245304 is a wasteful number, since it uses less digits than its factorization.

2141245304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2141245304 is about 46273.5918640427. The cubic root of 2141245304 is about 1288.9086585398.

Adding to 2141245304 its reverse (4035421412), we get a palindrome (6176666716).

The spelling of 2141245304 in words is "two billion, one hundred forty-one million, two hundred forty-five thousand, three hundred four".

Divisors: 1 2 4 8 11 22 44 88 89 131 178 262 356 524 712 979 1048 1441 1958 2087 2882 3916 4174 5764 7832 8348 11528 11659 16696 22957 23318 45914 46636 91828 93272 128249 183656 185743 256498 273397 371486 512996 546794 742972 1025992 1093588 1485944 2043173 2187176 3007367 4086346 6014734 8172692 12029468 16345384 24058936 24332333 48664666 97329332 194658664 267655663 535311326 1070622652 2141245304