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44242430100 = 223521147285251
BaseRepresentation
bin101001001101000011…
…011110100010010100
311020012022221022112020
4221031003132202110
51211102030230400
632154044453140
73124240310451
oct511503364224
9136168838466
1044242430100
1117843775620
1286a884a1b0
134230c95c2b
1421d9bca828
15123e1982a0
hexa4d0de894

44242430100 has 144 divisors (see below), whose sum is σ = 142616871936. Its totient is φ = 10497200000.

The previous prime is 44242430087. The next prime is 44242430117. The reversal of 44242430100 is 103424244.

It is a happy number.

It is a congruent number.

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, 12475 + ... + 297725.

It is an arithmetic number, because the mean of its divisors is an integer number (990394944).

Almost surely, 244242430100 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 44242430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71308435968).

44242430100 is an abundant number, since it is smaller than the sum of its proper divisors (98374441836).

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

44242430100 is a wasteful number, since it uses less digits than its factorization.

44242430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285326 (or 285319 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 44242430100 its reverse (103424244), we get a palindrome (44345854344).

The spelling of 44242430100 in words is "forty-four billion, two hundred forty-two million, four hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 47 50 55 60 66 75 94 100 110 132 141 150 165 188 220 235 275 282 300 330 470 517 550 564 660 705 825 940 1034 1100 1175 1410 1551 1650 2068 2350 2585 2820 3102 3300 3525 4700 5170 6204 7050 7755 10340 12925 14100 15510 25850 31020 38775 51700 77550 155100 285251 570502 855753 1141004 1426255 1711506 2852510 3137761 3423012 4278765 5705020 6275522 7131275 8557530 9413283 12551044 13406797 14262550 15688805 17115060 18826566 21393825 26813594 28525100 31377610 37653132 40220391 42787650 47066415 53627188 62755220 67033985 78444025 80440782 85575300 94132830 134067970 147474767 156888050 160881564 188265660 201101955 235332075 268135940 294949534 313776100 335169925 402203910 442424301 470664150 589899068 670339850 737373835 804407820 884848602 941328300 1005509775 1340679700 1474747670 1769697204 2011019550 2212121505 2949495340 3686869175 4022039100 4424243010 7373738350 8848486020 11060607525 14747476700 22121215050 44242430100