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6440213940 = 2235383280253
BaseRepresentation
bin1011111111101110…
…11101110110110100
3121121211101202200020
411333313131312310
5101142143321230
62543020045140
7315410625636
oct57767356664
917554352606
106440213940
112805373066
1212b89937b0
137b834a3a4
14451480a56
1527a5e1810
hex17fddddb4

6440213940 has 48 divisors (see below), whose sum is σ = 18079746048. Its totient is φ = 1712900224.

The previous prime is 6440213933. The next prime is 6440213977. The reversal of 6440213940 is 493120446.

It is a super-3 number, since 3×64402139403 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

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, 117147 + ... + 163106.

It is an arithmetic number, because the mean of its divisors is an integer number (376661376).

Almost surely, 26440213940 is an apocalyptic number.

6440213940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6440213940 is an abundant number, since it is smaller than the sum of its proper divisors (11639532108).

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

6440213940 is a wasteful number, since it uses less digits than its factorization.

6440213940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280648 (or 280646 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 6440213940 is about 80250.9435458550. The cubic root of 6440213940 is about 1860.5160956568.

The spelling of 6440213940 in words is "six billion, four hundred forty million, two hundred thirteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 383 766 1149 1532 1915 2298 3830 4596 5745 7660 11490 22980 280253 560506 840759 1121012 1401265 1681518 2802530 3363036 4203795 5605060 8407590 16815180 107336899 214673798 322010697 429347596 536684495 644021394 1073368990 1288042788 1610053485 2146737980 3220106970 6440213940