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7442139300 = 22352173739439
BaseRepresentation
bin1101110111001011…
…00000100010100100
3201012122200211212220
412323211200202210
5110220141424200
63230250512340
7352265066061
oct67345404244
921178624786
107442139300
113179991452
1215384356b0
13917aaca2b
1450856dc68
152d85534a0
hex1bb9608a4

7442139300 has 144 divisors (see below), whose sum is σ = 23416001280. Its totient is φ = 1817303040.

The previous prime is 7442139293. The next prime is 7442139323. The reversal of 7442139300 is 39312447.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168981 + ... + 208419.

It is an arithmetic number, because the mean of its divisors is an integer number (162611120).

Almost surely, 27442139300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7442139300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11708000640).

7442139300 is an abundant number, since it is smaller than the sum of its proper divisors (15973861980).

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

7442139300 is a wasteful number, since it uses less digits than its factorization.

7442139300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39510 (or 39503 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 7442139300 is about 86267.8346778218. The cubic root of 7442139300 is about 1952.3871094798.

The spelling of 7442139300 in words is "seven billion, four hundred forty-two million, one hundred thirty-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 37 50 51 60 68 74 75 85 100 102 111 148 150 170 185 204 222 255 300 340 370 425 444 510 555 629 740 850 925 1020 1110 1258 1275 1700 1850 1887 2220 2516 2550 2775 3145 3700 3774 5100 5550 6290 7548 9435 11100 12580 15725 18870 31450 37740 39439 47175 62900 78878 94350 118317 157756 188700 197195 236634 394390 473268 591585 670463 788780 985975 1183170 1340926 1459243 1971950 2011389 2366340 2681852 2918486 2957925 3352315 3943900 4022778 4377729 5836972 5915850 6704630 7296215 8045556 8755458 10056945 11831700 13409260 14592430 16761575 17510916 20113890 21888645 24807131 29184860 33523150 36481075 40227780 43777290 49614262 50284725 67046300 72962150 74421393 87554580 99228524 100569450 109443225 124035655 145924300 148842786 201138900 218886450 248071310 297685572 372106965 437772900 496142620 620178275 744213930 1240356550 1488427860 1860534825 2480713100 3721069650 7442139300