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114155134320144 = 24341199291485717
BaseRepresentation
bin11001111101001011010000…
…001110101111111000010000
3112222012010100120211111002010
4121331023100032233320100
5104430304203341221034
61042442051132422520
733021302434504431
oct3175132016577020
9488163316744063
10114155134320144
1133411a1433a6a5
1210978043617a40
134b90a24276ba8
1420291d0899488
15d2e684dd73e9
hex67d2d03afe10

114155134320144 has 80 divisors (see below), whose sum is σ = 303611523868800. Its totient is φ = 36937069931520.

The previous prime is 114155134320107. The next prime is 114155134320181. The reversal of 114155134320144 is 441023431551411.

It is an interprime number because it is at equal distance from previous prime (114155134320107) and next prime (114155134320181).

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, 145351227 + ... + 146134490.

It is an arithmetic number, because the mean of its divisors is an integer number (3795144048360).

Almost surely, 2114155134320144 is an apocalyptic number.

It is an amenable number.

114155134320144 is an abundant number, since it is smaller than the sum of its proper divisors (189456389548656).

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

114155134320144 is a wasteful number, since it uses less digits than its factorization.

114155134320144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291485968 (or 291485962 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

Adding to 114155134320144 its reverse (441023431551411), we get a palindrome (555178565871555).

The spelling of 114155134320144 in words is "one hundred fourteen trillion, one hundred fifty-five billion, one hundred thirty-four million, three hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 199 246 328 398 492 597 656 796 984 1194 1592 1968 2388 3184 4776 8159 9552 16318 24477 32636 48954 65272 97908 130544 195816 391632 291485717 582971434 874457151 1165942868 1748914302 2331885736 3497828604 4663771472 6995657208 11950914397 13991314416 23901828794 35852743191 47803657588 58005657683 71705486382 95607315176 116011315366 143410972764 174016973049 191214630352 232022630732 286821945528 348033946098 464045261464 573643891056 696067892196 928090522928 1392135784392 2378231965003 2784271568784 4756463930006 7134695895009 9512927860012 14269391790018 19025855720024 28538783580036 38051711440048 57077567160072 114155134320144