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133111421344 = 2511677377317
BaseRepresentation
bin111101111111000001…
…1110001100110100000
3110201120202121211022101
41323332003301212200
54140103010440334
6141052303420144
712421424261416
oct1737603614640
9421522554271
10133111421344
11514a7a22030
122196a8b4654
13c72469b355
14662a7d72b6
1536e10b6214
hex1efe0f19a0

133111421344 has 96 divisors (see below), whose sum is σ = 294132517056. Its totient is φ = 58784901120.

The previous prime is 133111421341. The next prime is 133111421351. The reversal of 133111421344 is 443124111331.

It is not an unprimeable number, because it can be changed into a prime (133111421341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1682974 + ... + 1760290.

It is an arithmetic number, because the mean of its divisors is an integer number (3063880386).

Almost surely, 2133111421344 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 133111421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147066258528).

133111421344 is an abundant number, since it is smaller than the sum of its proper divisors (161021095712).

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

133111421344 is a wasteful number, since it uses less digits than its factorization.

133111421344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77478 (or 77470 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

Adding to 133111421344 its reverse (443124111331), we get a palindrome (576235532675).

It can be divided in two parts, 133111 and 421344, that added together give a palindrome (554455).

The spelling of 133111421344 in words is "one hundred thirty-three billion, one hundred eleven million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 67 73 88 134 146 176 268 292 352 536 584 737 803 1072 1168 1474 1606 2144 2336 2948 3212 4891 5896 6424 9782 11792 12848 19564 23584 25696 39128 53801 77317 78256 107602 154634 156512 215204 309268 430408 618536 850487 860816 1237072 1700974 1721632 2474144 3401948 5180239 5644141 6803896 10360478 11288282 13607792 20720956 22576564 27215584 41441912 45153128 56982629 62085551 82883824 90306256 113965258 124171102 165767648 180612512 227930516 248342204 378157447 455861032 496684408 756314894 911722064 993368816 1512629788 1823444128 1986737632 3025259576 4159731917 6050519152 8319463834 12101038304 16638927668 33277855336 66555710672 133111421344