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42441302311340 = 225137120112897191
BaseRepresentation
bin10011010011001101000101…
…01111111000000110101100
312120021100102022221001002012
421221212202233320012230
521030324241342430330
6230133133133220352
711640166015231502
oct1151464257700654
9176240368831065
1042441302311340
1112583289792059
1249154aa3316b8
131a8b27528673a
14a6a25465c672
154d8ee05c4c95
hex2699a2bf81ac

42441302311340 has 48 divisors (see below), whose sum is σ = 89852054048064. Its totient is φ = 16838571264000.

The previous prime is 42441302311339. The next prime is 42441302311411. The reversal of 42441302311340 is 4311320314424.

42441302311340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42441302311297 and 42441302311306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3157856 + ... + 9739335.

It is an arithmetic number, because the mean of its divisors is an integer number (1871917792668).

Almost surely, 242441302311340 is an apocalyptic number.

It is an amenable number.

42441302311340 is an abundant number, since it is smaller than the sum of its proper divisors (47410751736724).

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

42441302311340 is a wasteful number, since it uses less digits than its factorization.

42441302311340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12898538 (or 12898536 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 42441302311340 its reverse (4311320314424), we get a palindrome (46752622625764).

The spelling of 42441302311340 in words is "forty-two trillion, four hundred forty-one billion, three hundred two million, three hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1201 1370 2402 2740 4804 6005 12010 24020 164537 329074 658148 822685 1645370 3290740 12897191 25794382 51588764 64485955 128971910 257943820 1766915167 3533830334 7067660668 8834575835 15489526391 17669151670 30979052782 35338303340 61958105564 77447631955 154895263910 309790527820 2122065115567 4244130231134 8488260462268 10610325577835 21220651155670 42441302311340