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40935420970110 = 23254132143345133
BaseRepresentation
bin10010100111011000001010…
…01110011100010001111110
312100221101110212111210220200
421103230011032130101332
520331141220232020420
6223021250042024330
711423325615101502
oct1123540516342176
9170841425453820
1040935420970110
1112052683a53a87
1247116857a80a6
1319ac26954b984
14a173dbc70302
154aec56c30b90
hex253b0539c47e

40935420970110 has 96 divisors (see below), whose sum is σ = 109031707145088. Its totient is φ = 10649503434240.

The previous prime is 40935420970097. The next prime is 40935420970111. The reversal of 40935420970110 is 1107902453904.

40935420970110 is a `hidden beast` number, since 4 + 0 + 9 + 3 + 542 + 0 + 97 + 0 + 1 + 10 = 666.

40935420970110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40935420970111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118435104 + ... + 118780236.

It is an arithmetic number, because the mean of its divisors is an integer number (1135746949428).

Almost surely, 240935420970110 is an apocalyptic number.

40935420970110 is an abundant number, since it is smaller than the sum of its proper divisors (68096286174978).

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

40935420970110 is a wasteful number, since it uses less digits than its factorization.

40935420970110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377330 (or 377327 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 40935420970110 in words is "forty trillion, nine hundred thirty-five billion, four hundred twenty million, nine hundred seventy thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 32143 64286 96429 160715 192858 289287 321430 345133 482145 578574 690266 964290 1035399 1317863 1446435 1725665 2070798 2635726 2892870 3106197 3451330 3953589 5176995 6212394 6589315 7907178 10353990 11860767 13178630 14150453 15530985 19767945 23721534 28300906 31061970 39535890 42451359 59303835 70752265 84902718 118607670 127354077 141504530 212256795 254708154 424513590 636770385 1273540770 11093610019 22187220038 33280830057 55468050095 66561660114 99842490171 110936100190 166404150285 199684980342 332808300570 454838010779 499212450855 909676021558 998424901710 1364514032337 2274190053895 2729028064674 4093542097011 4548380107790 6822570161685 8187084194022 13645140323370 20467710485055 40935420970110