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42296231540 = 22517474196317
BaseRepresentation
bin100111011001000011…
…010100011001110100
311001011200211012000002
4213121003110121310
51143110313402130
631233003010432
73025066015253
oct473103243164
9131150735002
1042296231540
1116a35135862
128244b09a18
133cb0a08354
14209353879a
1511783b1b45
hex9d90d4674

42296231540 has 96 divisors (see below), whose sum is σ = 96292385280. Its totient is φ = 15544838144.

The previous prime is 42296231539. The next prime is 42296231561. The reversal of 42296231540 is 4513269224.

It is a junction number, because it is equal to n+sod(n) for n = 42296231494 and 42296231503.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6692462 + ... + 6698778.

It is an arithmetic number, because the mean of its divisors is an integer number (1003045680).

Almost surely, 242296231540 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 42296231540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48146192640).

42296231540 is an abundant number, since it is smaller than the sum of its proper divisors (53996153740).

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

42296231540 is a wasteful number, since it uses less digits than its factorization.

42296231540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809 (or 6807 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 42296231540 in words is "forty-two billion, two hundred ninety-six million, two hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 170 188 235 340 419 470 799 838 940 1598 1676 2095 3196 3995 4190 6317 7123 7990 8380 12634 14246 15980 19693 25268 28492 31585 35615 39386 63170 71230 78772 98465 107389 126340 142460 196930 214778 296899 334781 393860 429556 536945 593798 669562 1073890 1187596 1339124 1484495 1673905 2147780 2646823 2968990 3347810 5047283 5293646 5937980 6695620 10094566 10587292 13234115 20189132 25236415 26468230 44995991 50472830 52936460 89991982 100945660 124400681 179983964 224979955 248801362 449959910 497602724 622003405 899919820 1244006810 2114811577 2488013620 4229623154 8459246308 10574057885 21148115770 42296231540