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2141214140 = 22513671011217
BaseRepresentation
bin111111110100000…
…0101010110111100
312112020001221121102
41333220011112330
513341122323030
6552245352232
7104030006552
oct17750052674
95466057542
102141214140
119a972896a
124b9108678
132817bb220
14164537bd2
15c7ea8c45
hex7fa055bc

2141214140 has 96 divisors (see below), whose sum is σ = 4967452224. Its totient is φ = 770457600.

The previous prime is 2141214091. The next prime is 2141214149. The reversal of 2141214140 is 414121412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141214149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1758812 + ... + 1760028.

It is an arithmetic number, because the mean of its divisors is an integer number (51744294).

Almost surely, 22141214140 is an apocalyptic number.

2141214140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483726112).

2141214140 is an abundant number, since it is smaller than the sum of its proper divisors (2826238084).

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

2141214140 is a wasteful number, since it uses less digits than its factorization.

2141214140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 2141214140 is about 46273.2551264767. The cubic root of 2141214140 is about 1288.9024055206.

Adding to 2141214140 its reverse (414121412), we get a palindrome (2555335552).

The spelling of 2141214140 in words is "two billion, one hundred forty-one million, two hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 101 130 134 202 260 268 335 404 505 670 871 1010 1217 1313 1340 1742 2020 2434 2626 3484 4355 4868 5252 6085 6565 6767 8710 12170 13130 13534 15821 17420 24340 26260 27068 31642 33835 63284 67670 79105 81539 87971 122917 135340 158210 163078 175942 245834 316420 326156 351884 407695 439855 491668 614585 815390 879710 1060007 1229170 1597921 1630780 1759420 2120014 2458340 3195842 4240028 5300035 6391684 7989605 8235439 10600070 15979210 16470878 21200140 31958420 32941756 41177195 82354390 107060707 164708780 214121414 428242828 535303535 1070607070 2141214140