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103934022544 = 241121724312
BaseRepresentation
bin110000011001011110…
…0110101001110010000
3100221021100012101122101
41200302330311032100
53200324102210134
6115425134450144
710336403420662
oct1406274651620
9327240171571
10103934022544
1140095056500
1218187363954
139a54870531
14505d71c532
152a847cae14
hex1832f35390

103934022544 has 135 divisors (see below), whose sum is σ = 235675837873. Its totient is φ = 44360588800.

The previous prime is 103934022541. The next prime is 103934022553. The reversal of 103934022544 is 445220439301.

The square root of 103934022544 is 322388.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 80917491600 + 23016530944 = 284460^2 + 151712^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103934022541) 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 26 ways as a sum of consecutive naturals, for example, 241146009 + ... + 241146439.

Almost surely, 2103934022544 is an apocalyptic number.

103934022544 is the 322388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103934022544

103934022544 is an abundant number, since it is smaller than the sum of its proper divisors (131741815329).

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

103934022544 is an equidigital number, since it uses as much as digits as its factorization.

103934022544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 103934022544 in words is "one hundred three billion, nine hundred thirty-four million, twenty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 176 187 242 272 289 374 431 484 578 748 862 968 1156 1496 1724 1936 2057 2312 2992 3179 3448 4114 4624 4741 6358 6896 7327 8228 9482 12716 14654 16456 18964 25432 29308 32912 34969 37928 50864 52151 58616 69938 75856 80597 104302 117232 124559 139876 161194 185761 208604 249118 279752 322388 371522 417208 498236 559504 644776 743044 834416 886567 996472 1289552 1370149 1486088 1773134 1992944 2043371 2740298 2972176 3157937 3546268 4086742 5480596 6315874 7092536 8173484 10961192 12631748 14185072 15071639 16346968 21922384 22477081 25263496 30143278 32693936 34737307 44954162 50526992 53684929 60286556 69474614 89908324 107369858 120573112 138949228 179816648 214739716 241146224 277898456 359633296 382110377 429479432 555796912 590534219 764220754 858958864 1181068438 1528441508 2362136876 3056883016 4724273752 6113766032 6495876409 9448547504 12991752818 25983505636 51967011272 103934022544