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114000033425100 = 2235213725111050691
BaseRepresentation
bin11001111010111010110011…
…011111110010011011001100
3112221122022000100010122122220
4121322322303133302123030
5104420234032024100400
61042242520430135340
733004142046605154
oct3172726337623314
9487568010118586
10114000033425100
1133362162991609
1210951b78651550
134b7c206ca0b54
1420218b98a1764
15d2a6085c17a0
hex67aeb37f26cc

114000033425100 has 144 divisors (see below), whose sum is σ = 333571414813056. Its totient is φ = 30057876800000.

The previous prime is 114000033425093. The next prime is 114000033425101. The reversal of 114000033425100 is 1524330000411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114000033425101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4790755 + ... + 15841445.

It is an arithmetic number, because the mean of its divisors is an integer number (2316468158424).

Almost surely, 2114000033425100 is an apocalyptic number.

114000033425100 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 114000033425100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166785707406528).

114000033425100 is an abundant number, since it is smaller than the sum of its proper divisors (219571381387956).

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

114000033425100 is a wasteful number, since it uses less digits than its factorization.

114000033425100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11051096 (or 11051089 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 114000033425100 its reverse (1524330000411), we get a palindrome (115524363425511).

The spelling of 114000033425100 in words is "one hundred fourteen trillion, thirty-three million, four hundred twenty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 137 150 251 274 300 411 502 548 685 753 822 1004 1255 1370 1506 1644 2055 2510 2740 3012 3425 3765 4110 5020 6275 6850 7530 8220 10275 12550 13700 15060 18825 20550 25100 34387 37650 41100 68774 75300 103161 137548 171935 206322 343870 412644 515805 687740 859675 1031610 1719350 2063220 2579025 3438700 5158050 10316100 11050691 22101382 33152073 44202764 55253455 66304146 110506910 132608292 165760365 221013820 276267275 331520730 552534550 663041460 828801825 1105069100 1513944667 1657603650 2773723441 3027889334 3315207300 4541834001 5547446882 6055778668 7569723335 8321170323 9083668002 11094893764 13868617205 15139446670 16642340646 18167336004 22709170005 27737234410 30278893340 33284681292 37848616675 41605851615 45418340010 55474468820 69343086025 75697233350 83211703230 90836680020 113545850025 138686172050 151394466700 166423406460 208029258075 227091700050 277372344100 380000111417 416058516150 454183400100 760000222834 832117032300 1140000334251 1520000445668 1900000557085 2280000668502 3800001114170 4560001337004 5700001671255 7600002228340 9500002785425 11400003342510 19000005570850 22800006685020 28500008356275 38000011141700 57000016712550 114000033425100