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1940419607364 = 22327193710953169
BaseRepresentation
bin11100001111001010000…
…001010111101101000100
320212111120011211022022100
4130033022001113231010
5223242434404413424
64043225542232100
7260122256344320
oct34171201275504
96774504738270
101940419607364
11688a22310a77
12274096725630
13110c99a22284
1469cb9a26980
153571c512dc9
hex1c3ca057b44

1940419607364 has 144 divisors (see below), whose sum is σ = 6060169897600. Its totient is φ = 511031006208.

The previous prime is 1940419607363. The next prime is 1940419607381. The reversal of 1940419607364 is 4637069140491.

1940419607364 is a `hidden beast` number, since 1 + 9 + 40 + 419 + 60 + 73 + 64 = 666.

It is a super-3 number, since 3×19404196073643 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1940419607364.

It is not an unprimeable number, because it can be changed into a prime (1940419607363) 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 47 ways as a sum of consecutive naturals, for example, 5299429 + ... + 5653740.

Almost surely, 21940419607364 is an apocalyptic number.

1940419607364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1940419607364 is an abundant number, since it is smaller than the sum of its proper divisors (4119750290236).

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

1940419607364 is a wasteful number, since it uses less digits than its factorization.

1940419607364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10953242 (or 10953237 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1940419607364 in words is "one trillion, nine hundred forty billion, four hundred nineteen million, six hundred seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 37 38 42 57 63 74 76 84 111 114 126 133 148 171 222 228 252 259 266 333 342 399 444 518 532 666 684 703 777 798 1036 1197 1332 1406 1554 1596 2109 2331 2394 2812 3108 4218 4662 4788 4921 6327 8436 9324 9842 12654 14763 19684 25308 29526 44289 59052 88578 177156 10953169 21906338 32859507 43812676 65719014 76672183 98578521 131438028 153344366 197157042 208110211 230016549 306688732 394314084 405267253 416220422 460033098 624330633 690049647 810534506 832440844 920066196 1215801759 1248661266 1380099294 1456771477 1621069012 1872991899 2431603518 2497322532 2760198588 2836870771 2913542954 3647405277 3745983798 4370314431 4863207036 5673741542 5827085908 7294810554 7491967596 7700077807 8510612313 8740628862 11347483084 13110943293 14589621108 15400155614 17021224626 17481257724 23100233421 25531836939 26221886586 30800311228 34042449252 46200466842 51063673878 52443773172 53900544649 69300700263 92400933684 102127347756 107801089298 138601400526 161701633947 215602178596 277202801052 323403267894 485104901841 646806535788 970209803682 1940419607364