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342133235040 = 25352924578537
BaseRepresentation
bin1001111101010001011…
…10101101110101100000
31012201002212001010120210
410332220232231311200
521101142102010130
6421101314334120
733501244341312
oct4765056556540
91181085033523
10342133235040
11122109323403
125638388a340
1326355b3760c
14127b8b6b7b2
158d765c55b0
hex4fa8badd60

342133235040 has 96 divisors (see below), whose sum is σ = 1114882483680. Its totient is φ = 88089473024.

The previous prime is 342133234999. The next prime is 342133235063. The reversal of 342133235040 is 40532331243.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 342133234989 and 342133235007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12275349 + ... + 12303188.

It is an arithmetic number, because the mean of its divisors is an integer number (11613359205).

Almost surely, 2342133235040 is an apocalyptic number.

342133235040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342133235040 is an abundant number, since it is smaller than the sum of its proper divisors (772749248640).

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

342133235040 is a wasteful number, since it uses less digits than its factorization.

342133235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24578584 (or 24578576 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 342133235040 its reverse (40532331243), we get a palindrome (382665566283).

The spelling of 342133235040 in words is "three hundred forty-two billion, one hundred thirty-three million, two hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 13920 24578537 49157074 73735611 98314148 122892685 147471222 196628296 245785370 294942444 368678055 393256592 491570740 589884888 712777573 737356110 786513184 983141480 1179769776 1425555146 1474712220 1966282960 2138332719 2359539552 2851110292 2949424440 3563887865 3932565920 4276665438 5702220584 5898848880 7127775730 8553330876 10691663595 11404441168 11797697760 14255551460 17106661752 21383327190 22808882336 28511102920 34213323504 42766654380 57022205840 68426647008 85533308760 114044411680 171066617520 342133235040