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40260383616 = 273416738167
BaseRepresentation
bin100101011111101101…
…001011001110000000
310211220211000101200010
4211133231023032000
51124423124233431
630254555424520
72623455420465
oct453755131600
9124824011603
1040260383616
111608aa34112
127977155140
133a47cbc2cb
141d3cdcb66c
1510a97bc846
hex95fb4b380

40260383616 has 128 divisors (see below), whose sum is σ = 111187964160. Its totient is φ = 12897054720.

The previous prime is 40260383609. The next prime is 40260383677. The reversal of 40260383616 is 61638306204.

40260383616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1035765 + ... + 1073931.

It is an arithmetic number, because the mean of its divisors is an integer number (868655970).

Almost surely, 240260383616 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 40260383616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55593982080).

40260383616 is an abundant number, since it is smaller than the sum of its proper divisors (70927580544).

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

40260383616 is a wasteful number, since it uses less digits than its factorization.

40260383616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38292 (or 38280 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 40260383616 in words is "forty billion, two hundred sixty million, three hundred eighty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 67 82 96 123 128 134 164 192 201 246 268 328 384 402 492 536 656 804 984 1072 1312 1608 1968 2144 2624 2747 3216 3936 4288 5248 5494 6432 7872 8241 8576 10988 12864 15744 16482 21976 25728 32964 38167 43952 65928 76334 87904 114501 131856 152668 175808 229002 263712 305336 351616 458004 527424 610672 916008 1054848 1221344 1564847 1832016 2442688 2557189 3129694 3664032 4694541 4885376 5114378 6259388 7328064 7671567 9389082 10228756 12518776 14656128 15343134 18778164 20457512 25037552 30686268 37556328 40915024 50075104 61372536 75112656 81830048 100150208 104844749 122745072 150225312 163660096 200300416 209689498 245490144 300450624 314534247 327320192 419378996 490980288 600901248 629068494 838757992 981960576 1258136988 1677515984 2516273976 3355031968 5032547952 6710063936 10065095904 13420127872 20130191808 40260383616