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1429990613208 = 2333431069114401
BaseRepresentation
bin10100110011110010000…
…101010010000011011000
312001201001111121210121000
4110303302011102003120
5141412110044110313
63012532325345000
7205212333442113
oct24636205220330
95051044553530
101429990613208
1150150146a943
121b1184b68160
13a4b03063551
144d2d76cd57a
15272e6032673
hex14cf21520d8

1429990613208 has 128 divisors (see below), whose sum is σ = 4065235257600. Its totient is φ = 465502464000.

The previous prime is 1429990613173. The next prime is 1429990613221. The reversal of 1429990613208 is 8023160999241.

1429990613208 is a `hidden beast` number, since 1 + 4 + 299 + 90 + 61 + 3 + 208 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99290808 + ... + 99305208.

It is an arithmetic number, because the mean of its divisors is an integer number (31759650450).

Almost surely, 21429990613208 is an apocalyptic number.

1429990613208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1429990613208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032617628800).

1429990613208 is an abundant number, since it is smaller than the sum of its proper divisors (2635244644392).

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

1429990613208 is a wasteful number, since it uses less digits than its factorization.

1429990613208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25150 (or 25140 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1429990613208 in words is "one trillion, four hundred twenty-nine billion, nine hundred ninety million, six hundred thirteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 2322 3096 4644 9288 10691 14401 21382 28802 32073 42764 43203 57604 64146 85528 86406 96219 115208 128292 129609 172812 192438 256584 259218 288657 345624 384876 388827 459713 518436 577314 619243 769752 777654 919426 1036872 1154628 1238486 1379139 1555308 1838852 1857729 2309256 2476972 2758278 3110616 3677704 3715458 4137417 4953944 5516556 5573187 7430916 8274834 11033112 11146374 12412251 14861832 16549668 16719561 22292748 24824502 33099336 33439122 44585496 49649004 66878244 99298008 133756488 153961091 307922182 461883273 615844364 923766546 1231688728 1385649819 1847533092 2771299638 3695066184 4156949457 5542599276 6620326913 8313898914 11085198552 13240653826 16627797828 19860980739 26481307652 33255595656 39721961478 52962615304 59582942217 79443922956 119165884434 158887845912 178748826651 238331768868 357497653302 476663537736 714995306604 1429990613208