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4240141312 = 210113112143
BaseRepresentation
bin1111110010111011…
…0110110000000000
3101221111120111101211
43330232312300000
532140434010222
61540424535504
7210034415011
oct37456666000
911844514354
104240141312
1118864a3a20
129a4021594
135275c1974
142c31c5008
1519c3ad277
hexfcbb6c00

4240141312 has 88 divisors (see below), whose sum is σ = 9545766912. Its totient is φ = 1865011200.

The previous prime is 4240141261. The next prime is 4240141361. The reversal of 4240141312 is 2131410424.

It is a happy number.

4240141312 is digitally balanced in base 2, 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 (88).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343113 + ... + 355255.

It is an arithmetic number, because the mean of its divisors is an integer number (108474624).

Almost surely, 24240141312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4240141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772883456).

4240141312 is an abundant number, since it is smaller than the sum of its proper divisors (5305625600).

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

4240141312 is a wasteful number, since it uses less digits than its factorization.

4240141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12205 (or 12187 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4240141312 is about 65116.3674662523. The cubic root of 4240141312 is about 1618.5524477153.

Adding to 4240141312 its reverse (2131410424), we get a palindrome (6371551736).

The spelling of 4240141312 in words is "four billion, two hundred forty million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 512 682 704 992 1024 1364 1408 1984 2728 2816 3968 5456 5632 7936 10912 11264 12143 15872 21824 24286 31744 43648 48572 87296 97144 133573 174592 194288 267146 349184 376433 388576 534292 752866 777152 1068584 1505732 1554304 2137168 3011464 3108608 4140763 4274336 6022928 6217216 8281526 8548672 12045856 12434432 16563052 17097344 24091712 33126104 34194688 48183424 66252208 68389376 96366848 132504416 136778752 192733696 265008832 385467392 530017664 1060035328 2120070656 4240141312