Search a number
-
+
33141001436444 = 221117947385112149
BaseRepresentation
bin1111000100100001111011…
…00111100011110100011100
311100100020201101001011020002
413202100331213203310130
513320440232331431234
6154252433232513432
76660233624155346
oct742207547436434
9140306641034202
1033141001436444
11a6180243659a0
123872b463ab878
13156524c152085
148280668b4296
153c711810627e
hex1e243d9e3d1c

33141001436444 has 96 divisors (see below), whose sum is σ = 67084576876800. Its totient is φ = 14158153856000.

The previous prime is 33141001436423. The next prime is 33141001436467. The reversal of 33141001436444 is 44463410014133.

It is a junction number, because it is equal to n+sod(n) for n = 33141001436398 and 33141001436407.

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, 2727872882 + ... + 2727885030.

It is an arithmetic number, because the mean of its divisors is an integer number (698797675800).

Almost surely, 233141001436444 is an apocalyptic number.

33141001436444 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

33141001436444 is an abundant number, since it is smaller than the sum of its proper divisors (33943575440356).

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

33141001436444 is a wasteful number, since it uses less digits than its factorization.

33141001436444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16979 (or 16977 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 33141001436444 in words is "thirty-three trillion, one hundred forty-one billion, one million, four hundred thirty-six thousand, four hundred forty-four".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 748 947 1894 3788 3851 7702 10417 12149 15404 16099 20834 24298 32198 41668 42361 48596 64396 65467 84722 130934 133639 169444 177089 206533 261868 267278 354178 413066 534556 708356 720137 826132 1440274 2271863 2880548 3646897 4543726 7293794 9087452 11505103 14587588 23010206 40115867 46020412 46785799 61997249 80231734 93571598 123994498 126556133 160463468 187143196 195586751 247988996 253112266 391173502 506224532 514643789 681969739 782347004 795358583 1029287578 1363939478 1590717166 2058575156 2151454261 2727878956 3181434332 4302908522 8605817044 8748944413 17497888826 34995777652 44306151653 88612303306 177224606612 487367668183 753204578101 974735336366 1506409156202 1949470672732 3012818312404 8285250359111 16570500718222 33141001436444