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334424040121000 = 2353603767638191
BaseRepresentation
bin100110000001010000010101…
…0000111011010001010101000
31121212002121220100122002122001
41030002200222013122022220
5322313200413232333000
63143132141052540344
7130304224320554644
oct11402405207321250
91555077810562561
10334424040121000
1197615491260235
12316117524816b4
131147b089683a9b
145c822d1da5c24
15289e20b7a546a
hex130282a1da2a8

334424040121000 has 128 divisors (see below), whose sum is σ = 782893177896960. Its totient is φ = 133711355232000.

The previous prime is 334424040120997. The next prime is 334424040121027. The reversal of 334424040121000 is 121040424433.

It is a super-2 number, since 2×3344240401210002 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334424040121000.

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, 40828226905 + ... + 40828235095.

It is an arithmetic number, because the mean of its divisors is an integer number (6116352952320).

Almost surely, 2334424040121000 is an apocalyptic number.

It is an amenable number.

334424040121000 is an abundant number, since it is smaller than the sum of its proper divisors (448469137775960).

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

334424040121000 is a wasteful number, since it uses less digits than its factorization.

334424040121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21012 (or 20998 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 334424040121000 its reverse (121040424433), we get a palindrome (334545080545433).

The spelling of 334424040121000 in words is "three hundred thirty-four trillion, four hundred twenty-four billion, forty million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 6037 6763 8191 12074 13526 16382 24148 27052 30185 32764 33815 40955 48296 54104 60370 65528 67630 81910 120740 135260 150925 163820 169075 204775 241480 270520 301850 327640 338150 409550 603700 676300 754625 819100 845375 1023875 1207400 1352600 1509250 1638200 1690750 2047750 3018500 3381500 4095500 6037000 6763000 8191000 40828231 49449067 55395733 81656462 98898134 110791466 163312924 197796268 204141155 221582932 247245335 276978665 326625848 395592536 408282310 443165864 494490670 553957330 816564620 988981340 1020705775 1107914660 1236226675 1384893325 1633129240 1977962680 2041411550 2215829320 2472453350 2769786650 4082823100 4944906700 5103528875 5539573300 6181133375 6924466625 8165646200 9889813400 10207057750 11079146600 12362266750 13848933250 20414115500 24724533500 27697866500 40828231000 49449067000 55395733000 334424040121 668848080242 1337696160484 1672120200605 2675392320968 3344240401210 6688480802420 8360601003025 13376961604840 16721202006050 33442404012100 41803005015125 66884808024200 83606010030250 167212020060500 334424040121000