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105433141525044 = 22352338774333097
BaseRepresentation
bin10111111110010000010000…
…111100101011101000110100
3111211022022100220121221021020
4113332100100330223220310
5102304404033212300134
61012123152213221140
731131202351131414
oct2776202074535064
9454268326557236
10105433141525044
1130659a42833353
12b9a97959317b0
1346aa3c1a17398
141c06dc40cc644
15c2c858210b49
hex5fe410f2ba34

105433141525044 has 48 divisors (see below), whose sum is σ = 246544679333568. Its totient is φ = 35068127240448.

The previous prime is 105433141525031. The next prime is 105433141525139. The reversal of 105433141525044 is 440525141334501.

It is a super-3 number, since 3×1054331415250443 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105433141524987 and 105433141525005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22165504 + ... + 26498600.

It is an arithmetic number, because the mean of its divisors is an integer number (5136347486116).

Almost surely, 2105433141525044 is an apocalyptic number.

It is an amenable number.

105433141525044 is an abundant number, since it is smaller than the sum of its proper divisors (141111537808524).

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

105433141525044 is a wasteful number, since it uses less digits than its factorization.

105433141525044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4337504 (or 4337502 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

Adding to 105433141525044 its reverse (440525141334501), we get a palindrome (545958282859545).

The spelling of 105433141525044 in words is "one hundred five trillion, four hundred thirty-three billion, one hundred forty-one million, five hundred twenty-five thousand, forty-four".

Divisors: 1 2 3 4 6 12 523 1046 1569 2092 3138 3877 6276 7754 11631 15508 23262 46524 2027671 4055342 4333097 6083013 8110684 8666194 12166026 12999291 17332388 24332052 25998582 51997164 2266209731 4532419462 6798629193 9064838924 13597258386 16799417069 27194516772 33598834138 50398251207 67197668276 100796502414 201593004828 8786095127087 17572190254174 26358285381261 35144380508348 52716570762522 105433141525044