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2141243240 = 2351492771297
BaseRepresentation
bin111111110100000…
…1100011101101000
312112020010102112012
41333220030131220
513341124240430
6552250135052
7104030160443
oct17750143550
95466112465
102141243240
119a9748814
124b9121488
132817cb546
1416454465a
15c7eb2695
hex7fa0c768

2141243240 has 64 divisors (see below), whose sum is σ = 4871394000. Its totient is φ = 847024128.

The previous prime is 2141243231. The next prime is 2141243261. The reversal of 2141243240 is 423421412.

It can be written as a sum of positive squares in 8 ways, for example, as 852289636 + 1288953604 = 29194^2 + 35902^2 .

It is a super-2 number, since 2×21412432402 = 9169845225691395200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1650272 + ... + 1651568.

Almost surely, 22141243240 is an apocalyptic number.

2141243240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141243240 is an abundant number, since it is smaller than the sum of its proper divisors (2730150760).

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

2141243240 is a wasteful number, since it uses less digits than its factorization.

2141243240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2141243240 is about 46273.5695619000. The cubic root of 2141243240 is about 1288.9082444026.

Adding to 2141243240 its reverse (423421412), we get a palindrome (2564664652).

The spelling of 2141243240 in words is "two billion, one hundred forty-one million, two hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 149 277 298 554 596 745 1108 1192 1297 1385 1490 2216 2594 2770 2980 5188 5540 5960 6485 10376 11080 12970 25940 41273 51880 82546 165092 193253 206365 330184 359269 386506 412730 718538 773012 825460 966265 1437076 1546024 1650920 1796345 1932530 2874152 3592690 3865060 7185380 7730120 14370760 53531081 107062162 214124324 267655405 428248648 535310810 1070621620 2141243240