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133421414420 = 225725114292657
BaseRepresentation
bin111110001000010001…
…0010011100000010100
3110202101100221002212102
41330100202103200110
54141221340230140
6141143135541232
712432210211340
oct1742042234024
9422340832772
10133421414420
1151646a01458
1221a3668a818
13c7739877c8
146659a4c620
15370d3eae15
hex1f10893814

133421414420 has 96 divisors (see below), whose sum is σ = 321833191680. Its totient is φ = 45513216000.

The previous prime is 133421414419. The next prime is 133421414447. The reversal of 133421414420 is 24414124331.

133421414420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50213732 + ... + 50216388.

It is an arithmetic number, because the mean of its divisors is an integer number (3352429080).

Almost surely, 2133421414420 is an apocalyptic number.

133421414420 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 133421414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160916595840).

133421414420 is an abundant number, since it is smaller than the sum of its proper divisors (188411777260).

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

133421414420 is a wasteful number, since it uses less digits than its factorization.

133421414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4353 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 133421414420 its reverse (24414124331), we get a palindrome (157835538751).

The spelling of 133421414420 in words is "one hundred thirty-three billion, four hundred twenty-one million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 251 502 1004 1255 1429 1757 2510 2657 2858 3514 5020 5314 5716 7028 7145 8785 10003 10628 13285 14290 17570 18599 20006 26570 28580 35140 37198 40012 50015 53140 74396 92995 100030 185990 200060 358679 371980 666907 717358 1333814 1434716 1793395 2510753 2667628 3334535 3586790 3796853 4668349 5021506 6669070 7173580 7593706 9336698 10043012 12553765 13338140 15187412 18673396 18984265 23341745 25107530 26577971 37968530 46683490 50215060 53155942 75937060 93366980 106311884 132889855 265779710 531559420 953010103 1906020206 3812040412 4765050515 6671070721 9530101030 13342141442 19060202060 26684282884 33355353605 66710707210 133421414420