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40018262016 = 211310164489
BaseRepresentation
bin100101010001010001…
…100011100000000000
310211021221102100021110
4211101101203200000
51123424133341031
630214550123320
72614455420555
oct452121434000
9124257370243
1040018262016
1115a762a1617
12790a050540
133a09aa78a5
141d18ba2a2c
1510933e2c46
hex951463800

40018262016 has 96 divisors (see below), whose sum is σ = 107747312400. Its totient is φ = 13207142400.

The previous prime is 40018261973. The next prime is 40018262029. The reversal of 40018262016 is 61026281004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×400182620162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 588300 + ... + 652788.

Almost surely, 240018262016 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 40018262016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53873656200).

40018262016 is an abundant number, since it is smaller than the sum of its proper divisors (67729050384).

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

40018262016 is a wasteful number, since it uses less digits than its factorization.

40018262016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64615 (or 64595 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 40018262016 in words is "forty billion, eighteen million, two hundred sixty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 512 606 768 808 1024 1212 1536 1616 2048 2424 3072 3232 4848 6144 6464 9696 12928 19392 25856 38784 51712 64489 77568 103424 128978 155136 193467 206848 257956 310272 386934 515912 620544 773868 1031824 1547736 2063648 3095472 4127296 6190944 6513389 8254592 12381888 13026778 16509184 19540167 24763776 26053556 33018368 39080334 49527552 52107112 66036736 78160668 99055104 104214224 132073472 156321336 198110208 208428448 312642672 396220416 416856896 625285344 833713792 1250570688 1667427584 2501141376 3334855168 5002282752 6669710336 10004565504 13339420672 20009131008 40018262016