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340211044404132 = 2231179172071896017
BaseRepresentation
bin100110101011010111000111…
…0011100110100101110100100
31122121120212011122011010220220
41031112232032130310232210
5324043004204331413012
63203322443550324340
7131442302555423556
oct11526561634645644
91577525148133826
10340211044404132
119944676a312010
12321a721a4b96b0
13117aa9c1192405
146002433b414d6
15294ea0b41108c
hex1356b8e734ba4

340211044404132 has 96 divisors (see below), whose sum is σ = 877005097758720. Its totient is φ = 101783296043520.

The previous prime is 340211044404103. The next prime is 340211044404191. The reversal of 340211044404132 is 231404440112043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 340211044404093 and 340211044404102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178486588 + ... + 180382604.

It is an arithmetic number, because the mean of its divisors is an integer number (9135469768320).

Almost surely, 2340211044404132 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 340211044404132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438502548879360).

340211044404132 is an abundant number, since it is smaller than the sum of its proper divisors (536794053354588).

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

340211044404132 is a wasteful number, since it uses less digits than its factorization.

340211044404132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913321 (or 1913319 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 340211044404132 its reverse (231404440112043), we get a palindrome (571615484516175).

The spelling of 340211044404132 in words is "three hundred forty trillion, two hundred eleven billion, forty-four million, four hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2607 3476 5214 10428 17207 34414 51621 68828 103242 189277 206484 378554 567831 757108 1135662 1359353 1896017 2271324 2718706 3792034 4078059 5437412 5688051 7584068 8156118 11376102 14952883 16312236 20856187 22752204 29905766 41712374 44858649 59811532 62568561 83424748 89717298 125137122 149785343 179434596 250274244 299570686 449356029 599141372 898712058 1647638773 1797424116 3295277546 4942916319 6590555092 9885832638 19771665276 32624764519 65249529038 97874293557 130499058076 195748587114 358872409709 391497174228 717744819418 1076617229127 1435489638836 2153234458254 2577356397001 4306468916508 5154712794002 7732069191003 10309425588004 15464138382006 28350920367011 30928276764012 56701840734022 85052761101033 113403681468044 170105522202066 340211044404132