Search a number
-
+
42798112240 = 2451349982469
BaseRepresentation
bin100111110110111101…
…110101110111110000
311002110200012100220011
4213312331311313300
51200122304042430
631354452024304
73043401644302
oct476675656760
9132420170804
1042798112240
11171724671a4
128365002094
13406099b490
14210005d972
1511a749c22a
hex9f6f75df0

42798112240 has 80 divisors (see below), whose sum is σ = 107375940000. Its totient is φ = 15770520576.

The previous prime is 42798112229. The next prime is 42798112243. The reversal of 42798112240 is 4221189724.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×427981122402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 42798112193 and 42798112202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42798112243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477726 + ... + 560194.

It is an arithmetic number, because the mean of its divisors is an integer number (1342199250).

Almost surely, 242798112240 is an apocalyptic number.

42798112240 is a gapful number since it is divisible by the number (40) 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 42798112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53687970000).

42798112240 is an abundant number, since it is smaller than the sum of its proper divisors (64577827760).

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

42798112240 is a wasteful number, since it uses less digits than its factorization.

42798112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82994 (or 82988 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 42798112240 in words is "forty-two billion, seven hundred ninety-eight million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 499 520 998 1040 1996 2495 3992 4990 6487 7984 9980 12974 19960 25948 32435 39920 51896 64870 82469 103792 129740 164938 259480 329876 412345 518960 659752 824690 1072097 1319504 1649380 2144194 3298760 4288388 5360485 6597520 8576776 10720970 17153552 21441940 41152031 42883880 82304062 85767760 164608124 205760155 329216248 411520310 534976403 658432496 823040620 1069952806 1646081240 2139905612 2674882015 3292162480 4279811224 5349764030 8559622448 10699528060 21399056120 42798112240