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2141240140 = 22513348731
BaseRepresentation
bin111111110100000…
…1011101101001100
312112020010021021101
41333220023231030
513341124141030
6552250112444
7104030145424
oct17750135514
95466107241
102141240140
119a9746456
124b911b724
132817ca000
14164543484
15c7eb17ca
hex7fa0bb4c

2141240140 has 48 divisors (see below), whose sum is σ = 4871250720. Its totient is φ = 790595520.

The previous prime is 2141240113. The next prime is 2141240197. The reversal of 2141240140 is 410421412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19575 + ... + 68305.

It is an arithmetic number, because the mean of its divisors is an integer number (101484390).

Almost surely, 22141240140 is an apocalyptic number.

2141240140 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 2141240140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435625360).

2141240140 is an abundant number, since it is smaller than the sum of its proper divisors (2730010580).

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

2141240140 is a wasteful number, since it uses less digits than its factorization.

2141240140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48779 (or 48751 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2141240140 is about 46273.5360654446. The cubic root of 2141240140 is about 1288.9076223936.

Adding to 2141240140 its reverse (410421412), we get a palindrome (2551661552).

The spelling of 2141240140 in words is "two billion, one hundred forty-one million, two hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 2197 3380 4394 8788 10985 21970 43940 48731 97462 194924 243655 487310 633503 974620 1267006 2534012 3167515 6335030 8235539 12670060 16471078 32942156 41177695 82355390 107062007 164710780 214124014 428248028 535310035 1070620070 2141240140