Search a number
-
+
1010262434244 = 2237731031599539
BaseRepresentation
bin11101011001110000101…
…01010110000111000100
310120120122221000002201020
432230320111112013010
5113023004140343434
62052035210031140
7132663150001260
oct16547025260704
93516587002636
101010262434244
1135a4a4896708
12143966a184b0
137436246023b
1436c7b3a10a0
151b42c6b2849
hexeb385561c4

1010262434244 has 96 divisors (see below), whose sum is σ = 2757453404160. Its totient is φ = 281928169728.

The previous prime is 1010262434243. The next prime is 1010262434261. The reversal of 1010262434244 is 4424342620101.

It is a super-3 number, since 3×10102624342443 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1010262434243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168174 + ... + 1431365.

It is an arithmetic number, because the mean of its divisors is an integer number (28723472960).

Almost surely, 21010262434244 is an apocalyptic number.

1010262434244 is a gapful number since it is divisible by the number (14) 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 1010262434244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378726702080).

1010262434244 is an abundant number, since it is smaller than the sum of its proper divisors (1747190969916).

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

1010262434244 is a wasteful number, since it uses less digits than its factorization.

1010262434244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599729 (or 1599727 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 1010262434244 in words is "one trillion, ten billion, two hundred sixty-two million, four hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 103 146 206 219 292 309 412 438 511 618 721 876 1022 1236 1442 1533 2044 2163 2884 3066 4326 6132 7519 8652 15038 22557 30076 45114 52633 90228 105266 157899 210532 315798 631596 1599539 3199078 4798617 6398156 9597234 11196773 19194468 22393546 33590319 44787092 67180638 116766347 134361276 164752517 233532694 329505034 350299041 467065388 494257551 659010068 700598082 817364429 988515102 1153267619 1401196164 1634728858 1977030204 2306535238 2452093287 3269457716 3459802857 4613070476 4904186574 6919605714 9808373148 12026933741 13839211428 24053867482 36080801223 48107734964 72161602446 84188536187 144323204892 168377072374 252565608561 336754144748 505131217122 1010262434244