Search a number
-
+
33032314240 = 275791036343
BaseRepresentation
bin11110110000111000…
…010001110110000000
310011021002010102111221
4132300320101312000
51020122233023430
623101433044424
72246400016102
oct366070216600
9104232112457
1033032314240
1113010975662
12649a556714
133165681a93
141855063572
15cd4e5257a
hex7b0e11d80

33032314240 has 128 divisors (see below), whose sum is σ = 80756582400. Its totient is φ = 12916979712.

The previous prime is 33032314229. The next prime is 33032314261. The reversal of 33032314240 is 4241323033.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×330323142402 (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 15 ways as a sum of consecutive naturals, for example, 5204509 + ... + 5210851.

It is an arithmetic number, because the mean of its divisors is an integer number (630910800).

Almost surely, 233032314240 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 33032314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40378291200).

33032314240 is an abundant number, since it is smaller than the sum of its proper divisors (47724268160).

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

33032314240 is a wasteful number, since it uses less digits than its factorization.

33032314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6544 (or 6532 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 33032314240 its reverse (4241323033), we get a palindrome (37273637273).

The spelling of 33032314240 in words is "thirty-three billion, thirty-two million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 103 128 158 160 206 316 320 395 412 515 632 640 790 824 1030 1264 1580 1648 2060 2528 3160 3296 4120 5056 6320 6343 6592 8137 8240 10112 12640 12686 13184 16274 16480 25280 25372 31715 32548 32960 40685 50560 50744 63430 65096 65920 81370 101488 126860 130192 162740 202976 253720 260384 325480 405952 501097 507440 520768 650960 653329 811904 1002194 1014880 1041536 1301920 1306658 2004388 2029760 2505485 2603840 2613316 3266645 4008776 4059520 5010970 5207680 5226632 6533290 8017552 10021940 10453264 13066580 16035104 20043880 20906528 26133160 32070208 40087760 41813056 51612991 52266320 64140416 80175520 83626112 103225982 104532640 160351040 206451964 209065280 258064955 320702080 412903928 418130560 516129910 825807856 1032259820 1651615712 2064519640 3303231424 4129039280 6606462848 8258078560 16516157120 33032314240