Search a number
-
+
33441203413440 = 2632511611528963
BaseRepresentation
bin1111001101010001000110…
…00011001110000111000000
311101101221120222000200022200
413212220203003032013000
513340400041033212230
6155042402103033200
710021022123651154
oct746504303160700
9141357528020280
1033441203413440
11a723375575529
12390116743b800
131587651a7aaa4
148387c4791064
153ced383b0160
hex1e6a230ce1c0

33441203413440 has 84 divisors (see below), whose sum is σ = 115023805917384. Its totient is φ = 8917654242816.

The previous prime is 33441203413403. The next prime is 33441203413447. The reversal of 33441203413440 is 4431430214433.

33441203413440 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 1 + 203 + 4 + 1 + 3 + 440 = 666.

It is a super-2 number, since 2×334412034134402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33441203413395 and 33441203413404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33441203413447) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5805761602 + ... + 5805767361.

It is an arithmetic number, because the mean of its divisors is an integer number (1369331022826).

Almost surely, 233441203413440 is an apocalyptic number.

33441203413440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33441203413440 is an abundant number, since it is smaller than the sum of its proper divisors (81582602503944).

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

33441203413440 is a wasteful number, since it uses less digits than its factorization.

33441203413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11611528986 (or 11611528973 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 33441203413440 its reverse (4431430214433), we get a palindrome (37872633627873).

The spelling of 33441203413440 in words is "thirty-three trillion, four hundred forty-one billion, two hundred three million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 11611528963 23223057926 34834586889 46446115852 58057644815 69669173778 92892231704 104503760667 116115289630 139338347556 174172934445 185784463408 209007521334 232230579260 278676695112 348345868890 371568926816 418015042668 464461158520 522518803335 557353390224 696691737780 743137853632 836030085336 928922317040 1045037606670 1114706780448 1393383475560 1672060170672 1857844634080 2090075213340 2229413560896 2786766951120 3344120341344 3715689268160 4180150426680 5573533902240 6688240682688 8360300853360 11147067804480 16720601706720 33441203413440