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141431433134310 = 232511236211305803
BaseRepresentation
bin100000001010000110010010…
…010101010000000011100110
3200112202201020202020000010200
4200022012102111100003212
5122014203033340244220
61220444411534531330
741535040521132114
oct4012062225200346
9615681222200120
10141431433134310
1141078808992590
1213a42438966b46
1360bbc0858c917
1426cd4643daab4
151153e51eb2890
hex80a1925500e6

141431433134310 has 96 divisors (see below), whose sum is σ = 418592320743168. Its totient is φ = 32795694634560.

The previous prime is 141431433134269. The next prime is 141431433134311. The reversal of 141431433134310 is 13431334134141.

141431433134310 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 3 + 1 + 4 + 331 + 3 + 4 + 310 = 666.

It is a super-2 number, since 2×1414314331343102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141431433134311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3105630132 + ... + 3105675671.

It is an arithmetic number, because the mean of its divisors is an integer number (4360336674408).

Almost surely, 2141431433134310 is an apocalyptic number.

141431433134310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141431433134310 is an abundant number, since it is smaller than the sum of its proper divisors (277160887608858).

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

141431433134310 is a wasteful number, since it uses less digits than its factorization.

141431433134310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6211305850 (or 6211305847 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 141431433134310 its reverse (13431334134141), we get a palindrome (154862767268451).

The spelling of 141431433134310 in words is "one hundred forty-one trillion, four hundred thirty-one billion, four hundred thirty-three million, one hundred thirty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 495 506 690 759 990 1035 1265 1518 2070 2277 2530 3795 4554 7590 11385 22770 6211305803 12422611606 18633917409 31056529015 37267834818 55901752227 62113058030 68324363833 93169587045 111803504454 136648727666 142860033469 186339174090 204973091499 279508761135 285720066938 341621819165 409946182998 428580100407 559017522270 614919274497 683243638330 714300167345 857160200814 1024865457495 1229838548994 1285740301221 1428600334690 1571460368159 2049730914990 2142900502035 2571480602442 3074596372485 3142920736318 4285801004070 4714381104477 6149192744970 6428701506105 7857301840795 9428762208954 12857403012210 14143143313431 15714603681590 23571905522385 28286286626862 47143811044770 70715716567155 141431433134310