Search a number
-
+
11347067076240 = 243576754206593
BaseRepresentation
bin1010010100011111000111…
…1001101111111010010000
31111011202202121120220122110
42211013301321233322100
52441402243132414430
640044434243305320
72250540620514420
oct245076171577220
944152677526573
1011347067076240
11368529a602225
12133317997b240
13644040494c1c
142b32b56a2480
1514a26aeb87b0
hexa51f1e6fe90

11347067076240 has 80 divisors (see below), whose sum is σ = 40201037647488. Its totient is φ = 2593615331328.

The previous prime is 11347067076227. The next prime is 11347067076307. The reversal of 11347067076240 is 4267076074311.

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

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 11347067076240.

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, 3377101617 + ... + 3377104976.

Almost surely, 211347067076240 is an apocalyptic number.

11347067076240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11347067076240 is an abundant number, since it is smaller than the sum of its proper divisors (28853970571248).

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

11347067076240 is a wasteful number, since it uses less digits than its factorization.

11347067076240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6754206616 (or 6754206610 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 11347067076240 in words is "eleven trillion, three hundred forty-seven billion, sixty-seven million, seventy-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 6754206593 13508413186 20262619779 27016826372 33771032965 40525239558 47279446151 54033652744 67542065930 81050479116 94558892302 101313098895 108067305488 135084131860 141838338453 162100958232 189117784604 202626197790 236397230755 270168263720 283676676906 324201916464 378235569208 405252395580 472794461510 540336527440 567353353812 709191692265 756471138416 810504791160 945588923020 1134706707624 1418383384530 1621009582320 1891177846040 2269413415248 2836766769060 3782355692080 5673533538120 11347067076240