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40205264316 = 223717103273349
BaseRepresentation
bin100101011100011010…
…111010010110111100
310211202222022001012120
4211130122322112330
51124320021424231
630245310202540
72622216052020
oct453432722674
9124688261176
1040205264316
1116061907178
1279607b3450
133a39760a39
141d35960380
1510a4a30d96
hex95c6ba5bc

40205264316 has 96 divisors (see below), whose sum is σ = 114623308800. Its totient is φ = 10706494464.

The previous prime is 40205264303. The next prime is 40205264353. The reversal of 40205264316 is 61346250204.

It is a congruent number.

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, 10410 + ... + 283758.

It is an arithmetic number, because the mean of its divisors is an integer number (1193992800).

Almost surely, 240205264316 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 40205264316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57311654400).

40205264316 is an abundant number, since it is smaller than the sum of its proper divisors (74418044484).

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

40205264316 is a wasteful number, since it uses less digits than its factorization.

40205264316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273483 (or 273481 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 40205264316 in words is "forty billion, two hundred five million, two hundred sixty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 103 119 204 206 238 309 357 412 476 618 714 721 1236 1428 1442 1751 2163 2884 3502 4326 5253 7004 8652 10506 12257 21012 24514 36771 49028 73542 147084 273349 546698 820047 1093396 1640094 1913443 3280188 3826886 4646933 5740329 7653772 9293866 11480658 13940799 18587732 22961316 27881598 28154947 32528531 55763196 56309894 65057062 84464841 97585593 112619788 130114124 168929682 195171186 197084629 337859364 390342372 394169258 478634099 591253887 788338516 957268198 1182507774 1435902297 1914536396 2365015548 2871804594 3350438693 5743609188 6700877386 10051316079 13401754772 20102632158 40205264316