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1940974486192 = 24731761341057
BaseRepresentation
bin11100001111101011000…
…110000100001010110000
320212112222211221001222001
4130033223012010022300
5223300103432024232
64043401003223344
7260142104626000
oct34175306041260
96775884831861
101940974486192
11689187550715
12274210517b54
13111057980341
1469d2d5c6000
15357510bb6e7
hex1c3eb1842b0

1940974486192 has 160 divisors (see below), whose sum is σ = 4719697027200. Its totient is φ = 770077163520.

The previous prime is 1940974486181. The next prime is 1940974486211. The reversal of 1940974486192 is 2916844790491.

It is a happy number.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5520528 + ... + 5861584.

It is an arithmetic number, because the mean of its divisors is an integer number (29498106420).

Almost surely, 21940974486192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1940974486192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359848513600).

1940974486192 is an abundant number, since it is smaller than the sum of its proper divisors (2778722541008).

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

1940974486192 is a wasteful number, since it uses less digits than its factorization.

1940974486192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341164 (or 341144 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 64.

The spelling of 1940974486192 in words is "one trillion, nine hundred forty billion, nine hundred seventy-four million, four hundred eighty-six thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 61 68 98 112 119 122 136 196 238 244 272 343 392 427 476 488 686 784 833 854 952 976 1037 1372 1666 1708 1904 2074 2744 2989 3332 3416 4148 5488 5831 5978 6664 6832 7259 8296 11662 11956 13328 14518 16592 20923 23324 23912 29036 41846 46648 47824 50813 58072 83692 93296 101626 116144 167384 203252 334768 341057 355691 406504 682114 711382 813008 1364228 1422764 2387399 2728456 2845528 4774798 5456912 5691056 5797969 9549596 11595938 16711793 19099192 20804477 23191876 33423586 38198384 40585783 41608954 46383752 66847172 81171566 83217908 92767504 116982551 133694344 145631339 162343132 166435816 233965102 267388688 284100481 291262678 324686264 332871632 353676109 467930204 568200962 582525356 649372528 707352218 935860408 1019419373 1136401924 1165050712 1414704436 1871720816 1988703367 2038838746 2272803848 2330101424 2475732763 2829408872 3977406734 4077677492 4545607696 4951465526 5658817744 7135935611 7954813468 8155354984 9902931052 14271871222 15909626936 16310709968 17330129341 19805862104 28543742444 31819253872 34660258682 39611724208 57087484888 69320517364 114174969776 121310905387 138641034728 242621810774 277282069456 485243621548 970487243096 1940974486192