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42326517300 = 22352793834663
BaseRepresentation
bin100111011010110110…
…110110011000110100
311001020210210212020220
4213122312312120310
51143141042023200
631240004054340
73025614314034
oct473266663064
9131223725226
1042326517300
1116a50240a11
1282530943b0
133cb7080412
14209757d8c4
15117ad954a0
hex9dadb6634

42326517300 has 144 divisors (see below), whose sum is σ = 124365373440. Its totient is φ = 11112716160.

The previous prime is 42326517271. The next prime is 42326517307. The reversal of 42326517300 is 371562324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42326517307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9074769 + ... + 9079431.

Almost surely, 242326517300 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 42326517300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62182686720).

42326517300 is an abundant number, since it is smaller than the sum of its proper divisors (82038856140).

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

42326517300 is a wasteful number, since it uses less digits than its factorization.

42326517300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5142 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 42326517300 in words is "forty-two billion, three hundred twenty-six million, five hundred seventeen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 383 395 474 766 790 948 1149 1185 1532 1580 1915 1975 2298 2370 3830 3950 4596 4663 4740 5745 5925 7660 7900 9326 9575 11490 11850 13989 18652 19150 22980 23315 23700 27978 28725 30257 38300 46630 55956 57450 60514 69945 90771 93260 114900 116575 121028 139890 151285 181542 233150 279780 302570 349725 363084 368377 453855 466300 605140 699450 736754 756425 907710 1105131 1398900 1473508 1512850 1785929 1815420 1841885 2210262 2269275 3025700 3571858 3683770 4420524 4538550 5357787 5525655 7143716 7367540 8929645 9077100 9209425 10715574 11051310 17859290 18418850 21431148 22102620 26788935 27628275 35718580 36837700 44648225 53577870 55256550 89296450 107155740 110513100 133944675 141088391 178592900 267889350 282176782 423265173 535778700 564353564 705441955 846530346 1410883910 1693060692 2116325865 2821767820 3527209775 4232651730 7054419550 8465303460 10581629325 14108839100 21163258650 42326517300