Search a number
-
+
1331366335640 = 2351114812043101
BaseRepresentation
bin10011010111111011100…
…111100001010010011000
311201021111012122101201222
4103113323213201102120
5133303114240220030
62455342105031212
7165121333063145
oct23277347412230
94637435571658
101331366335640
114736a1651430
1219603ba85508
1398716582163
144861d2613cc
15249729943e5
hex135fb9e1498

1331366335640 has 64 divisors (see below), whose sum is σ = 3270107337120. Its totient is φ = 483806080000.

The previous prime is 1331366335639. The next prime is 1331366335643. The reversal of 1331366335640 is 465336631331.

It is a super-2 number, since 2×13313663356402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1331366335591 and 1331366335600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331366335643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369911 + ... + 1673190.

Almost surely, 21331366335640 is an apocalyptic number.

1331366335640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331366335640 is an abundant number, since it is smaller than the sum of its proper divisors (1938741001480).

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

1331366335640 is a wasteful number, since it uses less digits than its factorization.

1331366335640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044604 (or 2044600 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 44.

The spelling of 1331366335640 in words is "one trillion, three hundred thirty-one billion, three hundred sixty-six million, three hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1481 2962 5924 7405 11848 14810 16291 29620 32582 59240 65164 81455 130328 162910 325820 651640 2043101 4086202 8172404 10215505 16344808 20431010 22474111 40862020 44948222 81724040 89896444 112370555 179792888 224741110 449482220 898964440 3025832581 6051665162 12103330324 15129162905 24206660648 30258325810 33284158391 60516651620 66568316782 121033303240 133136633564 166420791955 266273267128 332841583910 665683167820 1331366335640