Search a number
-
+
194068525440 = 2735234143177
BaseRepresentation
bin1011010010111101100…
…0101011000110000000
3200112220222011120001110
42310233120223012000
511134423020303230
6225053122003320
720010125151156
oct2645730530600
9615828146043
10194068525440
1175338694609
12317411a6540
13153ba4c6a0a
14957042d3d6
1550ac8754b0
hex2d2f62b180

194068525440 has 128 divisors (see below), whose sum is σ = 618872001120. Its totient is φ = 51728302080.

The previous prime is 194068525439. The next prime is 194068525463. The reversal of 194068525440 is 44525860491.

194068525440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 194068525440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4473132 + ... + 4516308.

Almost surely, 2194068525440 is an apocalyptic number.

194068525440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194068525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309436000560).

194068525440 is an abundant number, since it is smaller than the sum of its proper divisors (424803475680).

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

194068525440 is a wasteful number, since it uses less digits than its factorization.

194068525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45540 (or 45528 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 194068525440 in words is "one hundred ninety-four billion, sixty-eight million, five hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2341 4682 7023 9364 11705 14046 18728 23410 28092 35115 37456 43177 46820 56184 70230 74912 86354 93640 112368 129531 140460 149824 172708 187280 215885 224736 259062 280920 299648 345416 374560 431770 449472 518124 561840 647655 690832 749120 863540 898944 1036248 1123680 1295310 1381664 1498240 1727080 2072496 2247360 2590620 2763328 3454160 4144992 4494720 5181240 5526656 6908320 8289984 10362480 13816640 16579968 20724960 27633280 41449920 82899840 101077357 202154714 303232071 404309428 505386785 606464142 808618856 1010773570 1212928284 1516160355 1617237712 2021547140 2425856568 3032320710 3234475424 4043094280 4851713136 6064641420 6468950848 8086188560 9703426272 12129282840 12937901696 16172377120 19406852544 24258565680 32344754240 38813705088 48517131360 64689508480 97034262720 194068525440