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40670305335 = 3451123396919
BaseRepresentation
bin100101111000001000…
…111001110000110111
310212222101100120120000
4211320020321300313
51131243044232320
630403401442343
72636563614522
oct457010716067
9125871316500
1040670305335
11162803663a0
127a704a03b3
133ab1bc593a
141d7b615bb9
1510d0790c90
hex978239c37

40670305335 has 80 divisors (see below), whose sum is σ = 82991208960. Its totient is φ = 18861543360.

The previous prime is 40670305327. The next prime is 40670305349. The reversal of 40670305335 is 53350307604.

40670305335 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40670305335 - 23 = 40670305327 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40670305335.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95995 + ... + 300924.

It is an arithmetic number, because the mean of its divisors is an integer number (1037390112).

Almost surely, 240670305335 is an apocalyptic number.

40670305335 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40670305335 is an abundant number, since it is smaller than the sum of its proper divisors (42320903625).

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

40670305335 is a wasteful number, since it uses less digits than its factorization.

40670305335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396970 (or 396961 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The spelling of 40670305335 in words is "forty billion, six hundred seventy million, three hundred five thousand, three hundred thirty-five".

Divisors: 1 3 5 9 11 15 23 27 33 45 55 69 81 99 115 135 165 207 253 297 345 405 495 621 759 891 1035 1265 1485 1863 2277 3105 3795 4455 6831 9315 11385 20493 34155 102465 396919 1190757 1984595 3572271 4366109 5953785 9129137 10716813 13098327 17861355 21830545 27387411 32150439 39294981 45645685 53584065 65491635 82162233 100420507 117884943 136937055 160752195 196474905 246486699 301261521 353654829 410811165 502102535 589424715 739460097 903784563 1232433495 1506307605 1768274145 2711353689 3697300485 4518922815 8134061067 13556768445 40670305335