Search a number
-
+
33004011040040 = 23517114234248911
BaseRepresentation
bin1111000000100010110000…
…10110101010110100101000
311022212011010021102222110202
413200101120112222310220
513311214203311240130
6154105500001131332
76644314106050505
oct740213026526450
9138764107388422
1033004011040040
11a574a16901557
123850494629b48
131555359c57911
1482158cc6c4ac
153c379b724145
hex1e04585aad28

33004011040040 has 64 divisors (see below), whose sum is σ = 78634104514560. Its totient is φ = 12423948805120.

The previous prime is 33004011040031. The next prime is 33004011040069. The reversal of 33004011040040 is 4004011040033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33004011039994 and 33004011040021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5643185 + ... + 9892095.

It is an arithmetic number, because the mean of its divisors is an integer number (1228657883040).

Almost surely, 233004011040040 is an apocalyptic number.

It is an amenable number.

33004011040040 is an abundant number, since it is smaller than the sum of its proper divisors (45630093474520).

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

33004011040040 is a wasteful number, since it uses less digits than its factorization.

33004011040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260362 (or 4260358 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 33004011040040 its reverse (4004011040033), we get a palindrome (37008022080073).

The spelling of 33004011040040 in words is "thirty-three trillion, four billion, eleven million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 11423 22846 45692 57115 91384 114230 194191 228460 388382 456920 776764 970955 1553528 1941910 3883820 4248911 7767640 8497822 16995644 21244555 33991288 42489110 72231487 84978220 144462974 169956440 288925948 361157435 577851896 722314870 1444629740 2889259480 48535310353 97070620706 194141241412 242676551765 388282482824 485353103530 825100276001 970706207060 1650200552002 1941412414120 3300401104004 4125501380005 6600802208008 8251002760010 16502005520020 33004011040040