Search a number
-
+
60134113043040 = 2535292742801299
BaseRepresentation
bin11011010110001000100000…
…11100100110001001100000
321212220202122201201222221110
431223010100130212021200
530340214130414334130
6331521121414223320
715444355244124051
oct1553042034461140
9255822581658843
1060134113043040
1118184809135363
1268b2488954b40
132772812903baa
1410bc714180728
156e435da6aab0
hex36b110726260

60134113043040 has 96 divisors (see below), whose sum is σ = 189487176076800. Its totient is φ = 16030284537344.

The previous prime is 60134113043027. The next prime is 60134113043077. The reversal of 60134113043040 is 4034031143106.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×601341130430402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 60134113042989 and 60134113043007.

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, 19995690 + ... + 22805609.

It is an arithmetic number, because the mean of its divisors is an integer number (1973824750800).

Almost surely, 260134113043040 is an apocalyptic number.

60134113043040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

60134113043040 is an abundant number, since it is smaller than the sum of its proper divisors (129353063033760).

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

60134113043040 is a wasteful number, since it uses less digits than its factorization.

60134113043040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42804244 (or 42804236 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 60134113043040 its reverse (4034031143106), we get a palindrome (64168144186146).

The spelling of 60134113043040 in words is "sixty trillion, one hundred thirty-four billion, one hundred thirteen million, forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2927 5854 8781 11708 14635 17562 23416 29270 35124 43905 46832 58540 70248 87810 93664 117080 140496 175620 234160 280992 351240 468320 702480 1404960 42801299 85602598 128403897 171205196 214006495 256807794 342410392 428012990 513615588 642019485 684820784 856025980 1027231176 1284038970 1369641568 1712051960 2054462352 2568077940 3424103920 4108924704 5136155880 6848207840 10272311760 20544623520 125279402173 250558804346 375838206519 501117608692 626397010865 751676413038 1002235217384 1252794021730 1503352826076 1879191032595 2004470434768 2505588043460 3006705652152 3758382065190 4008940869536 5011176086920 6013411304304 7516764130380 10022352173840 12026822608608 15033528260760 20044704347680 30067056521520 60134113043040