Search a number
-
+
40347661746711 = 31113739232274917
BaseRepresentation
bin10010010110010001011000…
…00010111100001000010111
312021212012100220211122011210
421023020230002330020113
520242024002401343321
6221451243202032503
711333010446116014
oct1113105402741027
9167765326748153
1040347661746711
1111946390216090
124637792348733
1319689ca8b9457
149d6ba15a270b
1549e806844b76
hex24b22c0bc217

40347661746711 has 32 divisors (see below), whose sum is σ = 59130979008768. Its totient is φ = 24268439901440.

The previous prime is 40347661746673. The next prime is 40347661746713. The reversal of 40347661746711 is 11764716674304.

It is a cyclic number.

It is not a de Polignac number, because 40347661746711 - 221 = 40347659649559 is a prime.

It is a super-2 number, since 2×403476617467112 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40347661746713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16598425 + ... + 18873341.

It is an arithmetic number, because the mean of its divisors is an integer number (1847843094024).

Almost surely, 240347661746711 is an apocalyptic number.

40347661746711 is a deficient number, since it is larger than the sum of its proper divisors (18783317262057).

40347661746711 is a wasteful number, since it uses less digits than its factorization.

40347661746711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278991.

The product of its (nonzero) digits is 14224896, while the sum is 57.

The spelling of 40347661746711 in words is "forty trillion, three hundred forty-seven billion, six hundred sixty-one million, seven hundred forty-six thousand, seven hundred eleven".

Divisors: 1 3 11 33 137 411 1507 3923 4521 11769 43153 129459 537451 1612353 2274917 5911961 6824751 17735883 25024087 75072261 311663629 934990887 3428299919 8924499391 10284899757 26773498173 98169493301 294508479903 1222656416567 3667969249701 13449220582237 40347661746711