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2141421440 = 27523145477
BaseRepresentation
bin111111110100011…
…0111111110000000
312112020110110222012
41333220313332000
513341200441230
6552254032052
7104031532124
oct17750677600
95466413865
102141421440
119a985a694
124b91a8628
132818616a2
1416458d584
15c7eea395
hex7fa37f80

2141421440 has 64 divisors (see below), whose sum is σ = 5341952160. Its totient is φ = 819320832.

The previous prime is 2141421437. The next prime is 2141421551. The reversal of 2141421440 is 441241412.

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

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 58019 + ... + 87458.

Almost surely, 22141421440 is an apocalyptic number.

2141421440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141421440 is an abundant number, since it is smaller than the sum of its proper divisors (3200530720).

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

2141421440 is a wasteful number, since it uses less digits than its factorization.

2141421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145519 (or 145507 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 2141421440 is about 46275.4950270659. The cubic root of 2141421440 is about 1288.9439988767.

Adding to 2141421440 its reverse (441241412), we get a palindrome (2582662852).

The spelling of 2141421440 in words is "two billion, one hundred forty-one million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 14720 145477 290954 581908 727385 1163816 1454770 2327632 2909540 3345971 4655264 5819080 6691942 9310528 11638160 13383884 16729855 18621056 23276320 26767768 33459710 46552640 53535536 66919420 93105280 107071072 133838840 214142144 267677680 428284288 535355360 1070710720 2141421440