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340100431022112 = 25329131932538253
BaseRepresentation
bin100110101010100011100110…
…1011000010000100000100000
31122121012021122210120010121020
41031111013031120100200200
5324034201140320201422
63203155551525525440
7131431305505250415
oct11525071530204040
91577167583503536
10340100431022112
1199403867a03a12
12321898aa273880
13117a0443892887
145ddad3d2d010c
15294bbd555595c
hex13551cd610820

340100431022112 has 96 divisors (see below), whose sum is σ = 930598574431680. Its totient is φ = 108622055592960.

The previous prime is 340100431021997. The next prime is 340100431022207. The reversal of 340100431022112 is 211220134001043.

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

It is a super-2 number, since 2×3401004310221122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 465904423 + ... + 466633830.

It is an arithmetic number, because the mean of its divisors is an integer number (9693735150330).

Almost surely, 2340100431022112 is an apocalyptic number.

340100431022112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

340100431022112 is an abundant number, since it is smaller than the sum of its proper divisors (590498143409568).

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

340100431022112 is a wasteful number, since it uses less digits than its factorization.

340100431022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932538426 (or 932538418 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 340100431022112 its reverse (211220134001043), we get a palindrome (551320565023155).

The spelling of 340100431022112 in words is "three hundred forty trillion, one hundred billion, four hundred thirty-one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 131 174 232 262 348 393 464 524 696 786 928 1048 1392 1572 2096 2784 3144 3799 4192 6288 7598 11397 12576 15196 22794 30392 45588 60784 91176 121568 182352 364704 932538253 1865076506 2797614759 3730153012 5595229518 7460306024 11190459036 14920612048 22380918072 27043609337 29841224096 44761836144 54087218674 81130828011 89523672288 108174437348 122162511143 162261656022 216348874696 244325022286 324523312044 366487533429 432697749392 488650044572 649046624088 732975066858 865395498784 977300089144 1298093248176 1465950133716 1954600178288 2596186496352 2931900267432 3542712823147 3909200356576 5863800534864 7085425646294 10628138469441 11727601069728 14170851292588 21256276938882 28341702585176 42512553877764 56683405170352 85025107755528 113366810340704 170050215511056 340100431022112