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3940803711 = 331317253733
BaseRepresentation
bin1110101011100011…
…1110010001111111
3101011122022120102000
43222320332101333
531032321204321
61451013033343
7166441164435
oct35270762177
911148276360
103940803711
111742532179
1291b925853
134aa596520
14295544d55
15180e80826
hexeae3e47f

3940803711 has 96 divisors (see below), whose sum is σ = 6814221120. Its totient is φ = 2236336128.

The previous prime is 3940803673. The next prime is 3940803719. The reversal of 3940803711 is 1173080493.

It is a happy number.

It is not a de Polignac number, because 3940803711 - 210 = 3940802687 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3940803719) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5375901 + ... + 5376633.

It is an arithmetic number, because the mean of its divisors is an integer number (70981470).

Almost surely, 23940803711 is an apocalyptic number.

3940803711 is a deficient number, since it is larger than the sum of its proper divisors (2873417409).

3940803711 is a wasteful number, since it uses less digits than its factorization.

3940803711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3940803711 is about 62775.8210698992. The cubic root of 3940803711 is about 1579.5314146144.

The spelling of 3940803711 in words is "three billion, nine hundred forty million, eight hundred three thousand, seven hundred eleven".

Divisors: 1 3 9 13 17 27 39 51 53 117 153 159 221 289 351 459 477 663 689 733 867 901 1431 1989 2067 2199 2601 2703 3757 5967 6201 6597 7803 8109 9529 11271 11713 12461 15317 18603 19791 24327 28587 33813 35139 37383 38849 45951 85761 101439 105417 112149 116547 137853 161993 199121 211837 257283 316251 336447 349641 413559 485979 505037 597363 635511 660433 1048923 1457937 1515111 1792089 1906533 1981299 2753881 4373811 4545333 5376267 5719599 5943897 8261643 8585629 11227361 13635999 17831691 24784929 25756887 33682083 74354787 77270661 101046249 145955693 231811983 303138747 437867079 1313601237 3940803711