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3430222011414 = 234118772194901
BaseRepresentation
bin110001111010101001001…
…010100001110000010110
3110010221000001212220020000
4301322221022201300112
5422200043313331124
611143453334152130
7502553046005412
oct61725112416026
913127001786200
103430222011414
111102826999610
124749724b2646
131bb612526423
14bc048bb5d42
155e3644bc6c9
hex31ea92a1c16

3430222011414 has 80 divisors (see below), whose sum is σ = 8394551952336. Its totient is φ = 1038275496000.

The previous prime is 3430222011323. The next prime is 3430222011421. The reversal of 3430222011414 is 4141102220343.

3430222011414 is a `hidden beast` number, since 3 + 43 + 0 + 2 + 2 + 201 + 1 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 465364 + ... + 2660264.

Almost surely, 23430222011414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430222011414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197275976168).

3430222011414 is an abundant number, since it is smaller than the sum of its proper divisors (4964329940922).

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

3430222011414 is a wasteful number, since it uses less digits than its factorization.

3430222011414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195803 (or 2195794 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3430222011414 its reverse (4141102220343), we get a palindrome (7571324231757).

The spelling of 3430222011414 in words is "three trillion, four hundred thirty billion, two hundred twenty-two million, eleven thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 877 891 1754 1782 2631 5262 7893 9647 15786 19294 23679 28941 47358 57882 71037 86823 142074 173646 260469 520938 781407 1562814 2194901 4389802 6584703 13169406 19754109 24143911 39508218 48287822 59262327 72431733 118524654 144863466 177786981 217295199 355573962 434590398 651885597 1303771194 1924928177 1955656791 3849856354 3911313582 5774784531 11549569062 17324353593 21174209947 34648707186 42348419894 51973060779 63522629841 103946121558 127045259682 155919182337 190567889523 311838364674 381135779046 571703668569 1143407337138 1715111005707 3430222011414