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40220717316 = 223131779191977
BaseRepresentation
bin100101011101010101…
…110111000100000100
310211211001101010201220
4211131111313010010
51124333000423231
630251021320340
72622464312343
oct453525670404
9124731333656
1040220717316
111606a60124a
127965a060b0
133a3ca11620
141d37a23b5a
1510a6084896
hex95d577104

40220717316 has 96 divisors (see below), whose sum is σ = 108367741440. Its totient is φ = 11500130304.

The previous prime is 40220717293. The next prime is 40220717347. The reversal of 40220717316 is 61371702204.

It is a super-2 number, since 2×402207173162 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113520 + ... + 305496.

It is an arithmetic number, because the mean of its divisors is an integer number (1128830640).

Almost surely, 240220717316 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 40220717316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54183870720).

40220717316 is an abundant number, since it is smaller than the sum of its proper divisors (68147024124).

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

40220717316 is a wasteful number, since it uses less digits than its factorization.

40220717316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192093 (or 192091 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 40220717316 in words is "forty billion, two hundred twenty million, seven hundred seventeen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 79 102 156 158 204 221 237 316 442 474 663 884 948 1027 1326 1343 2054 2652 2686 3081 4029 4108 5372 6162 8058 12324 16116 17459 34918 52377 69836 104754 191977 209508 383954 575931 767908 1151862 2303724 2495701 3263609 4991402 6527218 7487103 9790827 9982804 13054436 14974206 15166183 19581654 29948412 30332366 39163308 42426917 45498549 60664732 84853834 90997098 127280751 169707668 181994196 197160379 254561502 257825111 394320758 509123004 515650222 591481137 773475333 788641516 1031300444 1182962274 1546950666 2365924548 3093901332 3351726443 6703452886 10055179329 13406905772 20110358658 40220717316