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114012500311420 = 225292236011466713
BaseRepresentation
bin11001111011000110011010…
…100101001011110101111100
3112221200111012011210002122021
4121323012122211023311330
5104420440100034431140
61042252341454525524
733005063020441414
oct3173063245136574
9487614164702567
10114012500311420
1133367480142847
12109544778068a4
134b80442a95469
14202233d4d5644
15d2aad7d18b4a
hex67b19a94bd7c

114012500311420 has 96 divisors (see below), whose sum is σ = 249207146334720. Its totient is φ = 43761992601600.

The previous prime is 114012500311399. The next prime is 114012500311439. The reversal of 114012500311420 is 24113005210411.

It is a happy number.

It is a congruent number.

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, 76999984 + ... + 78466696.

It is an arithmetic number, because the mean of its divisors is an integer number (2595907774320).

Almost surely, 2114012500311420 is an apocalyptic number.

114012500311420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114012500311420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124603573167360).

114012500311420 is an abundant number, since it is smaller than the sum of its proper divisors (135194646023300).

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

114012500311420 is a wasteful number, since it uses less digits than its factorization.

114012500311420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467575 (or 1467573 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 114012500311420 its reverse (24113005210411), we get a palindrome (138125505521831).

The spelling of 114012500311420 in words is "one hundred fourteen trillion, twelve billion, five hundred million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 223 290 446 580 601 892 1115 1202 2230 2404 3005 4460 6010 6467 12020 12934 17429 25868 32335 34858 64670 69716 87145 129340 134023 174290 268046 348580 536092 670115 1340230 1466713 2680460 2933426 3886667 5866852 7333565 7773334 14667130 15546668 19433335 29334260 38866670 42534677 77733340 85069354 170138708 212673385 327076999 425346770 654153998 850693540 881494513 1308307996 1635384995 1762989026 3270769990 3525978052 4407472565 6541539980 8814945130 9485232971 17629890260 18970465942 25563340877 37940931884 47426164855 51126681754 94852329710 102253363508 127816704385 189704659420 196573276399 255633408770 393146552798 511266817540 786293105596 982866381995 1965732763990 3931465527980 5700625015571 11401250031142 22802500062284 28503125077855 57006250155710 114012500311420