Search a number
-
+
12434613021040 = 245767331412927
BaseRepresentation
bin1011010011110010100010…
…1100010010100101110000
31122000201220120011010101111
42310330220230102211300
53112212041413133130
642240214331243104
72422241205516220
oct264745054224560
948021816133344
1012434613021040
113a64542976211
121489ab28a9494
136c276b01bc62
1430dba4b16080
151686bd40902a
hexb4f28b12970

12434613021040 has 80 divisors (see below), whose sum is σ = 33533685706752. Its totient is φ = 4199664598272.

The previous prime is 12434613021029. The next prime is 12434613021059. The reversal of 12434613021040 is 4012031643421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12434613020993 and 12434613021011.

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, 165668944 + ... + 165743983.

Almost surely, 212434613021040 is an apocalyptic number.

12434613021040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12434613021040 is an abundant number, since it is smaller than the sum of its proper divisors (21099072685712).

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

12434613021040 is a wasteful number, since it uses less digits than its factorization.

12434613021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331413014 (or 331413008 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 12434613021040 its reverse (4012031643421), we get a palindrome (16446644664461).

The spelling of 12434613021040 in words is "twelve trillion, four hundred thirty-four billion, six hundred thirteen million, twenty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 268 280 335 469 536 560 670 938 1072 1340 1876 2345 2680 3752 4690 5360 7504 9380 18760 37520 331412927 662825854 1325651708 1657064635 2319890489 2651303416 3314129270 4639780978 5302606832 6628258540 9279561956 11599452445 13256517080 18559123912 22204666109 23198904890 26513034160 37118247824 44409332218 46397809780 88818664436 92795619560 111023330545 155432662763 177637328872 185591239120 222046661090 310865325526 355274657744 444093322180 621730651052 777163313815 888186644360 1243461302104 1554326627630 1776373288720 2486922604208 3108653255260 6217306510520 12434613021040