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2141353344 = 27313428957
BaseRepresentation
bin111111110100010…
…0111010110000000
312112020100000120010
41333220213112000
513341141301334
6552252344520
7104031126444
oct17750472600
95466300503
102141353344
119a9813509
124b9175140
132818396b0
14164572824
15c7ed50e9
hex7fa27580

2141353344 has 64 divisors (see below), whose sum is σ = 6125520240. Its totient is φ = 658876416.

The previous prime is 2141353343. The next prime is 2141353363. The reversal of 2141353344 is 4433531412.

2141353344 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141353343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209487 + ... + 219470.

Almost surely, 22141353344 is an apocalyptic number.

2141353344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2141353344 is an abundant number, since it is smaller than the sum of its proper divisors (3984166896).

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

2141353344 is a wasteful number, since it uses less digits than its factorization.

2141353344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428987 (or 428975 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 2141353344 is about 46274.7592538308. The cubic root of 2141353344 is about 1288.9303361666.

Adding to 2141353344 its reverse (4433531412), we get a palindrome (6574884756).

The spelling of 2141353344 in words is "two billion, one hundred forty-one million, three hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 428957 857914 1286871 1715828 2573742 3431656 5147484 5576441 6863312 10294968 11152882 13726624 16729323 20589936 22305764 27453248 33458646 41179872 44611528 54906496 66917292 82359744 89223056 133834584 164719488 178446112 267669168 356892224 535338336 713784448 1070676672 2141353344