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114314034219900 = 22352497376623121
BaseRepresentation
bin11001111111011111001111…
…011001110000101101111100
3112222202022111121000202020120
4121333133033121300231330
5104440410120230014100
61043043050425014540
733035626222406334
oct3177371731605574
9488668447022216
10114314034219900
113347334517a1a9
12109a29aa924450
134ba29c8629308
142032b862460c4
15d33884ebe0a0
hex67f7cf670b7c

114314034219900 has 72 divisors (see below), whose sum is σ = 330815118862704. Its totient is φ = 30477612211200.

The previous prime is 114314034219817. The next prime is 114314034219901. The reversal of 114314034219900 is 9912430413411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114314034219901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36819661 + ... + 39803460.

Almost surely, 2114314034219900 is an apocalyptic number.

114314034219900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114314034219900 is an abundant number, since it is smaller than the sum of its proper divisors (216501084642804).

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

114314034219900 is a wasteful number, since it uses less digits than its factorization.

114314034219900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76628111 (or 76628104 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 114314034219900 in words is "one hundred fourteen trillion, three hundred fourteen billion, thirty-four million, two hundred nineteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 4973 9946 14919 19892 24865 29838 49730 59676 74595 99460 124325 149190 248650 298380 372975 497300 745950 1491900 76623121 153246242 229869363 306492484 383115605 459738726 766231210 919477452 1149346815 1532462420 1915578025 2298693630 3831156050 4597387260 5746734075 7662312100 11493468150 22986936300 381046780733 762093561466 1143140342199 1524187122932 1905233903665 2286280684398 3810467807330 4572561368796 5715701710995 7620935614660 9526169518325 11431403421990 19052339036650 22862806843980 28578508554975 38104678073300 57157017109950 114314034219900