Search a number
-
+
10407340674071 = 11210115140913789
BaseRepresentation
bin1001011101110010010111…
…0110000000110000010111
31100211221011110120111120122
42113130211312000300113
52331003213203032241
634045022153222155
72122622414060405
oct227344566006027
940757143514518
1010407340674071
113352801545500
12120101940195b
135a653c53bb93
1427da0a1ac475
15130abaeeb04b
hex97725d80c17

10407340674071 has 48 divisors (see below), whose sum is σ = 11658522724800. Its totient is φ = 9282081600000.

The previous prime is 10407340674047. The next prime is 10407340674077. The reversal of 10407340674071 is 17047604370401.

It is not a de Polignac number, because 10407340674071 - 26 = 10407340674007 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10407340674077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754749845 + ... + 754763633.

It is an arithmetic number, because the mean of its divisors is an integer number (242885890100).

Almost surely, 210407340674071 is an apocalyptic number.

10407340674071 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10407340674071 is a deficient number, since it is larger than the sum of its proper divisors (1251182050729).

10407340674071 is a wasteful number, since it uses less digits than its factorization.

10407340674071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14472 (or 14461 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 44.

The spelling of 10407340674071 in words is "ten trillion, four hundred seven billion, three hundred forty million, six hundred seventy-four thousand, seventy-one".

Divisors: 1 11 101 121 151 409 1111 1661 4499 12221 13789 15251 18271 41309 49489 61759 151679 167761 454399 679349 1392689 1668469 1845371 2082139 4998389 5639701 6237659 7472839 15319579 22903529 62036711 68614249 168515369 210296039 251938819 569609801 682403821 754756739 851594851 2313256429 6265707811 9367543361 25445820719 68922785921 86011079951 103042976971 946121879461 10407340674071