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11422431200334 = 2371126133666599
BaseRepresentation
bin1010011000110111110111…
…1101000100010001001110
31111102222021212111002102210
42212031331331010101032
52444121114341402314
640143220434131250
72256146331143010
oct246157575042116
944388255432383
1011422431200334
1137042536a3100
1213458b1120b26
1364b19102b0ab
142b6bc48821b0
1514c1cc4a9559
hexa637df4444e

11422431200334 has 96 divisors (see below), whose sum is σ = 28744501363200. Its totient is φ = 2962024528320.

The previous prime is 11422431200281. The next prime is 11422431200413. The reversal of 11422431200334 is 43300213422411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1281967 + ... + 4948565.

It is an arithmetic number, because the mean of its divisors is an integer number (299421889200).

Almost surely, 211422431200334 is an apocalyptic number.

11422431200334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11422431200334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14372250681600).

11422431200334 is an abundant number, since it is smaller than the sum of its proper divisors (17322070162866).

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

11422431200334 is a wasteful number, since it uses less digits than its factorization.

11422431200334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667246 (or 3667235 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 11422431200334 its reverse (43300213422411), we get a palindrome (54722644622745).

The spelling of 11422431200334 in words is "eleven trillion, four hundred twenty-two billion, four hundred thirty-one million, two hundred thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 613 726 847 1226 1694 1839 2541 3678 4291 5082 6743 8582 12873 13486 20229 25746 40458 47201 74173 94402 141603 148346 222519 283206 445038 519211 1038422 1557633 3115266 3666599 7333198 10999797 21999594 25666193 40332589 51332386 76998579 80665178 120997767 153997158 241995534 282328123 443658479 564656246 846984369 887316958 1330975437 1693968738 2247625187 2661950874 3105609353 4495250374 6211218706 6742875561 9316828059 13485751122 15733376309 18633656118 24723877057 31466752618 47200128927 49447754114 74171631171 94400257854 148343262342 173067139399 271962647627 346134278798 519201418197 543925295254 815887942881 1038402836394 1631775885762 1903738533389 3807477066778 5711215600167 11422431200334