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3132224401040 = 245722143372859
BaseRepresentation
bin101101100101000111000…
…111110110111010010000
3102002102211002210210122122
4231211013013312322100
5402304243421313130
610354531331153412
7442203304056500
oct55450707667220
912072732723578
103132224401040
11aa8407021279
12427067745868
131994a14ca767
14ab859991a00
15567229e42e5
hex2d9471f6e90

3132224401040 has 120 divisors (see below), whose sum is σ = 8475364327680. Its totient is φ = 1073401507584.

The previous prime is 3132224401037. The next prime is 3132224401051. The reversal of 3132224401040 is 401044222313.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8214131 + ... + 8586989.

It is an arithmetic number, because the mean of its divisors is an integer number (70628036064).

Almost surely, 23132224401040 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 3132224401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237682163840).

3132224401040 is an abundant number, since it is smaller than the sum of its proper divisors (5343139926640).

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

3132224401040 is a wasteful number, since it uses less digits than its factorization.

3132224401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375029 (or 375016 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 3132224401040 its reverse (401044222313), we get a palindrome (3533268623353).

The spelling of 3132224401040 in words is "three trillion, one hundred thirty-two billion, two hundred twenty-four million, four hundred one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 2143 3920 4286 8572 10715 15001 17144 21430 30002 34288 42860 60004 75005 85720 105007 120008 150010 171440 210014 240016 300020 372859 420028 525035 600040 745718 840056 1050070 1200080 1491436 1680112 1864295 2100140 2610013 2982872 3728590 4200280 5220026 5965744 7457180 8400560 10440052 13050065 14914360 18270091 20880104 26100130 29828720 36540182 41760208 52200260 73080364 91350455 104400520 146160728 182700910 208801040 292321456 365401820 730803640 799036837 1461607280 1598073674 3196147348 3995184185 5593257859 6392294696 7990368370 11186515718 12784589392 15980736740 22373031436 27966289295 31961473480 39152805013 44746062872 55932578590 63922946960 78305610026 89492125744 111865157180 156611220052 195764025065 223730314360 313222440104 391528050130 447460628720 626444880208 783056100260 1566112200520 3132224401040