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14400152434431 = 3343114371084483
BaseRepresentation
bin1101000110001100101111…
…1110000111011011111111
31212222122022101022210111000
43101203023332013123333
53341413003010400211
650343201054301343
73014243126050611
oct321431376073377
955878271283430
1014400152434431
114652085702255
121746a19ab7853
13805c0c03427a
1437ad84990db1
1519e8aada7656
hexd18cbf876ff

14400152434431 has 32 divisors (see below), whose sum is σ = 21831617265920. Its totient is φ = 9376014930912.

The previous prime is 14400152434379. The next prime is 14400152434519. The reversal of 14400152434431 is 13443425100441.

It is a happy number.

14400152434431 is a `hidden beast` number, since 1 + 4 + 40 + 0 + 152 + 4 + 34 + 431 = 666.

It is not a de Polignac number, because 14400152434431 - 27 = 14400152434303 is a prime.

It is a super-2 number, since 2×144001524344312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14400152434831) 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, 12736116 + ... + 13820598.

It is an arithmetic number, because the mean of its divisors is an integer number (682238039560).

Almost surely, 214400152434431 is an apocalyptic number.

14400152434431 is a deficient number, since it is larger than the sum of its proper divisors (7431464831489).

14400152434431 is a wasteful number, since it uses less digits than its factorization.

14400152434431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095972 (or 1095966 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 14400152434431 its reverse (13443425100441), we get a palindrome (27843577534872).

The spelling of 14400152434431 in words is "fourteen trillion, four hundred billion, one hundred fifty-two million, four hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 27 43 129 387 1161 11437 34311 102933 308799 491791 1084483 1475373 3253449 4426119 9760347 13278357 29281041 46632769 139898307 419694921 1259084763 12403232071 37209696213 111629088639 334887265917 533338979053 1600016937159 4800050811477 14400152434431