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114324211104 = 25329367111893
BaseRepresentation
bin110101001111001000…
…0010000010110100000
3101221002110011122211220
41222132100100112200
53333113444223404
6124304140335040
711155026521625
oct1523620202640
9357073148756
10114324211104
11445370449a4
121a1a6b44480
13aa1c3454bc
14576761034c
152e91a604d9
hex1a9e4105a0

114324211104 has 96 divisors (see below), whose sum is σ = 311298059520. Its totient is φ = 36693414912.

The previous prime is 114324211063. The next prime is 114324211123. The reversal of 114324211104 is 401112423411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 965782 + ... + 1077674.

It is an arithmetic number, because the mean of its divisors is an integer number (3242688120).

Almost surely, 2114324211104 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 114324211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155649029760).

114324211104 is an abundant number, since it is smaller than the sum of its proper divisors (196973848416).

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

114324211104 is a wasteful number, since it uses less digits than its factorization.

114324211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112302 (or 112294 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 114324211104 its reverse (401112423411), we get a palindrome (515436634515).

The spelling of 114324211104 in words is "one hundred fourteen billion, three hundred twenty-four million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 367 464 696 734 928 1101 1392 1468 2202 2784 2936 4404 5872 8808 10643 11744 17616 21286 31929 35232 42572 63858 85144 111893 127716 170288 223786 255432 335679 340576 447572 510864 671358 895144 1021728 1342716 1790288 2685432 3244897 3580576 5370864 6489794 9734691 10741728 12979588 19469382 25959176 38938764 41064731 51918352 77877528 82129462 103836704 123194193 155755056 164258924 246388386 311510112 328517848 492776772 657035696 985553544 1190877199 1314071392 1971107088 2381754398 3572631597 3942214176 4763508796 7145263194 9527017592 14290526388 19054035184 28581052776 38108070368 57162105552 114324211104