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33412242140 = 225192319012011
BaseRepresentation
bin11111000111100001…
…100101101011011100
310012020120000202121122
4133013201211223130
51021412013222030
623203244150112
72261662241444
oct370741455334
9105216022548
1033412242140
1113196381062
126585838338
1331c62b61a4
14188d6c1124
15d0849d8e5
hex7c7865adc

33412242140 has 96 divisors (see below), whose sum is σ = 77148771840. Its totient is φ = 12098592000.

The previous prime is 33412242133. The next prime is 33412242229. The reversal of 33412242140 is 4124221433.

It is a super-2 number, since 2×334122421402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16613735 + ... + 16615745.

It is an arithmetic number, because the mean of its divisors is an integer number (803633040).

Almost surely, 233412242140 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 33412242140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38574385920).

33412242140 is an abundant number, since it is smaller than the sum of its proper divisors (43736529700).

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

33412242140 is a wasteful number, since it uses less digits than its factorization.

33412242140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 33412242140 its reverse (4124221433), we get a palindrome (37536463573).

The spelling of 33412242140 in words is "thirty-three billion, four hundred twelve million, two hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 874 1748 1901 2011 2185 3802 4022 4370 7604 8044 8740 9505 10055 19010 20110 36119 38020 38209 40220 43723 46253 72238 76418 87446 92506 144476 152836 174892 180595 185012 191045 218615 231265 361190 382090 437230 462530 722380 764180 830737 874460 878807 925060 1661474 1757614 3322948 3515228 3822911 4153685 4394035 7645822 8307370 8788070 15291644 16614740 17576140 19114555 38229110 72635309 76458220 87926953 145270618 175853906 290541236 351707812 363176545 439634765 726353090 879269530 1452706180 1670612107 1758539060 3341224214 6682448428 8353060535 16706121070 33412242140