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200124344442 = 2311423372677
BaseRepresentation
bin1011101001100001010…
…1110010100001111010
3201010120000021001000010
42322120111302201322
511234323313010232
6231534051122350
720313160601151
oct2723025624172
9633500231003
10200124344442
1177965a80000
12329512a33b6
1315b44007679
14998680c598
1553143370cc
hex2e9857287a

200124344442 has 160 divisors (see below), whose sum is σ = 472005855360. Its totient is φ = 56418215040.

The previous prime is 200124344429. The next prime is 200124344443. The reversal of 200124344442 is 244443421002.

200124344442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (200124344443) 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 79 ways as a sum of consecutive naturals, for example, 74755608 + ... + 74758284.

It is an arithmetic number, because the mean of its divisors is an integer number (2950036596).

Almost surely, 2200124344442 is an apocalyptic number.

200124344442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200124344442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236002927680).

200124344442 is an abundant number, since it is smaller than the sum of its proper divisors (271881510918).

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

200124344442 is a wasteful number, since it uses less digits than its factorization.

200124344442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 200124344442 its reverse (244443421002), we get a palindrome (444567765444).

The spelling of 200124344442 in words is "two hundred billion, one hundred twenty-four million, three hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 37 46 66 69 74 111 121 138 222 242 253 363 407 506 726 759 814 851 1221 1331 1518 1702 2442 2553 2662 2677 2783 3993 4477 5106 5354 5566 7986 8031 8349 8954 9361 13431 14641 16062 16698 18722 26862 28083 29282 29447 30613 43923 49247 56166 58894 61226 61571 87846 88341 91839 98494 99049 102971 123142 147741 176682 183678 184713 198098 205942 295482 297147 308913 323917 336743 369426 541717 594294 617826 647834 673486 677281 971751 1010229 1083434 1089539 1132681 1354562 1625151 1943502 2020458 2031843 2179078 2265362 2278127 3250302 3268617 3398043 3563087 4063686 4556254 6537234 6796086 6834381 7126174 7450091 10689261 11984929 12459491 13668762 14900182 21378522 22350273 23969858 24918982 25059397 35954787 37378473 39193957 44700546 50118794 71909574 74756946 75178191 78387914 81951001 117581871 131834219 150356382 163902002 235163742 245853003 263668438 275653367 395502657 491706006 551306734 791005314 826960101 901461011 1450176409 1653920202 1802922022 2704383033 2900352818 3032187037 4350529227 5408766066 6064374074 8701058454 9096561111 18193122222 33354057407 66708114814 100062172221 200124344442