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42102100404320 = 25511191259034103
BaseRepresentation
bin10011001001010101010001…
…01111010010100001100000
312112001220212202200210120212
421210222220233102201200
521004300100200414240
6225313234331153252
711603530203500045
oct1144525057224140
9175056782623525
1042102100404320
11124624450958a0
12487b8042a5828
131a6529883b458
14a57a76d3d1cc
154d028b52b165
hex264aa8bd2860

42102100404320 has 96 divisors (see below), whose sum is σ = 114219573914880. Its totient is φ = 14504072855040.

The previous prime is 42102100404319. The next prime is 42102100404341. The reversal of 42102100404320 is 2340400120124.

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 15 ways as a sum of consecutive naturals, for example, 629483612 + ... + 629550491.

It is an arithmetic number, because the mean of its divisors is an integer number (1189787228280).

Almost surely, 242102100404320 is an apocalyptic number.

42102100404320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42102100404320 is an abundant number, since it is smaller than the sum of its proper divisors (72117473510560).

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

42102100404320 is a wasteful number, since it uses less digits than its factorization.

42102100404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259034148 (or 1259034140 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 42102100404320 its reverse (2340400120124), we get a palindrome (44442500524444).

The spelling of 42102100404320 in words is "forty-two trillion, one hundred two billion, one hundred million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 76 80 88 95 110 152 160 176 190 209 220 304 352 380 418 440 608 760 836 880 1045 1520 1672 1760 2090 3040 3344 4180 6688 8360 16720 33440 1259034103 2518068206 5036136412 6295170515 10072272824 12590341030 13849375133 20144545648 23921647957 25180682060 27698750266 40289091296 47843295914 50361364120 55397500532 69246875665 95686591828 100722728240 110795001064 119608239785 138493751330 191373183656 201445456480 221590002128 239216479570 263138127527 276987502660 382746367312 443180004256 478432959140 526276255054 553975005320 765492734624 956865918280 1052552510108 1107950010640 1315690637635 1913731836560 2105105020216 2215900021280 2631381275270 3827463673120 4210210040432 5262762550540 8420420080864 10525525101080 21051050202160 42102100404320