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40022822004 = 223112193739209
BaseRepresentation
bin100101010001100010…
…111100110001110100
310211022021000000101220
4211101202330301310
51123431320301004
630215231550340
72614542242154
oct452142746164
9124267000356
1040022822004
1115a78926600
12790b68b3b0
133a0aa132c9
141d1962c764
1510939e3dd9
hex9518bcc74

40022822004 has 144 divisors (see below), whose sum is σ = 110973710400. Its totient is φ = 11178984960.

The previous prime is 40022821997. The next prime is 40022822009.

40022822004 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40022822009) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1001152 + ... + 1040360.

Almost surely, 240022822004 is an apocalyptic number.

40022822004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40022822004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55486855200).

40022822004 is an abundant number, since it is smaller than the sum of its proper divisors (70950888396).

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

40022822004 is a wasteful number, since it uses less digits than its factorization.

40022822004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39294 (or 39281 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 40022822004 in words is "forty billion, twenty-two million, eight hundred twenty-two thousand, four".

Divisors: 1 2 3 4 6 11 12 19 22 33 37 38 44 57 66 74 76 111 114 121 132 148 209 222 228 242 363 407 418 444 484 627 703 726 814 836 1221 1254 1406 1452 1628 2109 2299 2442 2508 2812 4218 4477 4598 4884 6897 7733 8436 8954 9196 13431 13794 15466 17908 23199 26862 27588 30932 39209 46398 53724 78418 85063 92796 117627 156836 170126 235254 255189 340252 431299 470508 510378 744971 862598 1020756 1293897 1450733 1489942 1725196 2234913 2587794 2901466 2979884 4352199 4469826 4744289 5175588 5802932 8194681 8704398 8939652 9488578 14232867 15958063 16389362 17408796 18977156 24584043 27563927 28465734 31916126 32778724 47874189 49168086 55127854 56931468 63832252 82691781 90141491 95748378 98336172 110255708 165383562 175538693 180282982 191496756 270424473 303203197 330767124 351077386 360565964 526616079 540848946 606406394 702154772 909609591 1053232158 1081697892 1212812788 1819219182 2106464316 3335235167 3638438364 6670470334 10005705501 13340940668 20011411002 40022822004