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133231412440 = 23572232518501
BaseRepresentation
bin111110000010100110…
…1100000010011011000
3110201220010102000011001
41330011031200103120
54140324220144230
6141112231314344
712424412214610
oct1740515402330
9421803360131
10133231412440
1151559728125
12219a2b1b9b4
13c7434c11b9
14663c70da40
1536eb8b90ca
hex1f053604d8

133231412440 has 128 divisors (see below), whose sum is σ = 345543045120. Its totient is φ = 45288000000.

The previous prime is 133231412437. The next prime is 133231412443. The reversal of 133231412440 is 44214132331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133231412437) and next prime (133231412443).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 133231412399 and 133231412408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133231412443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15668190 + ... + 15676690.

It is an arithmetic number, because the mean of its divisors is an integer number (2699555040).

Almost surely, 2133231412440 is an apocalyptic number.

133231412440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133231412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172771522560).

133231412440 is an abundant number, since it is smaller than the sum of its proper divisors (212311632680).

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

133231412440 is a wasteful number, since it uses less digits than its factorization.

133231412440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8993 (or 8989 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 133231412440 its reverse (44214132331), we get a palindrome (177445544771).

The spelling of 133231412440 in words is "one hundred thirty-three billion, two hundred thirty-one million, four hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 223 251 280 446 502 892 1004 1115 1255 1561 1757 1784 2008 2230 2510 3122 3514 4460 5020 6244 7028 7805 8501 8785 8920 10040 12488 14056 15610 17002 17570 31220 34004 35140 42505 55973 59507 62440 68008 70280 85010 111946 119014 170020 223892 238028 279865 297535 340040 391811 447784 476056 559730 595070 783622 1119460 1190140 1567244 1895723 1959055 2133751 2238920 2380280 3134488 3791446 3918110 4267502 7582892 7836220 8535004 9478615 10668755 13270061 14936257 15165784 15672440 17070008 18957230 21337510 26540122 29872514 37914460 42675020 53080244 59745028 66350305 74681285 75828920 85350040 106160488 119490056 132700610 149362570 265401220 298725140 475826473 530802440 597450280 951652946 1903305892 2379132365 3330785311 3806611784 4758264730 6661570622 9516529460 13323141244 16653926555 19033058920 26646282488 33307853110 66615706220 133231412440