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126114015150 = 23452231353881
BaseRepresentation
bin111010101110011111…
…0110010011110101110
3110001112002202202120000
41311130332302132232
54031240141441100
6133534101005130
712053136304314
oct1653476623656
9401462682500
10126114015150
114953708a202
12205373b37a6
13bb7aa92c06
1461653540b4
153431b10900
hex1d5cfb27ae

126114015150 has 120 divisors (see below), whose sum is σ = 365645619504. Its totient is φ = 32168188800.

The previous prime is 126114015121. The next prime is 126114015151. The reversal of 126114015150 is 51510411621.

126114015150 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 140 + 1 + 515 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126114015151) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 583791 + ... + 770090.

Almost surely, 2126114015150 is an apocalyptic number.

126114015150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126114015150 is an abundant number, since it is smaller than the sum of its proper divisors (239531604354).

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

126114015150 is a wasteful number, since it uses less digits than its factorization.

126114015150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353928 (or 1353914 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 126114015150 its reverse (51510411621), we get a palindrome (177624426771).

The spelling of 126114015150 in words is "one hundred twenty-six billion, one hundred fourteen million, fifteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 27 30 45 46 50 54 69 75 81 90 115 135 138 150 162 207 225 230 270 345 405 414 450 575 621 675 690 810 1035 1150 1242 1350 1725 1863 2025 2070 3105 3450 3726 4050 5175 6210 9315 10350 15525 18630 31050 46575 93150 1353881 2707762 4061643 6769405 8123286 12184929 13538810 20308215 24369858 31139263 33847025 36554787 40616430 60924645 62278526 67694050 73109574 93417789 101541075 109664361 121849290 155696315 182773935 186835578 203082150 219328722 280253367 304623225 311392630 365547870 467088945 548321805 560506734 609246450 778481575 840760101 913869675 934177890 1096643610 1401266835 1556963150 1681520202 1827739350 2335444725 2522280303 2741609025 2802533670 4203800505 4670889450 5044560606 5483218050 7006334175 8407601010 12611401515 14012668350 21019002525 25222803030 42038005050 63057007575 126114015150