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114345030400000 = 2115517866411
BaseRepresentation
bin11001111111111100000110…
…111010110011100000000000
3112222212021111202210211210221
4121333330012322303200000
5104441412110240300000
61043105214244432424
733041104306526341
oct3177740672634000
9488767452724727
10114345030400000
1133485500768074
12109a89bb3a8714
134ba58c81c199a
142034486ac60c8
15d3459b2c261a
hex67ff06eb3800

114345030400000 has 144 divisors (see below), whose sum is σ = 285774510588840. Its totient is φ = 45738009600000.

The previous prime is 114345030399989. The next prime is 114345030400031. The reversal of 114345030400000 is 4030543411.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2533206 + ... + 15333205.

Almost surely, 2114345030400000 is an apocalyptic number.

114345030400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114345030400000 is an abundant number, since it is smaller than the sum of its proper divisors (171429480188840).

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

114345030400000 is an frugal number, since it uses more digits than its factorization.

114345030400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17866458 (or 17866418 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 114345030400000 its reverse (4030543411), we get a palindrome (114349060943411).

The spelling of 114345030400000 in words is "one hundred fourteen trillion, three hundred forty-five billion, thirty million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3125 3200 4000 5000 5120 6250 6400 8000 10000 10240 12500 12800 16000 20000 25000 25600 32000 40000 50000 51200 64000 80000 100000 128000 160000 200000 256000 320000 400000 640000 800000 1280000 1600000 3200000 6400000 17866411 35732822 71465644 89332055 142931288 178664110 285862576 357328220 446660275 571725152 714656440 893320550 1143450304 1429312880 1786641100 2233301375 2286900608 2858625760 3573282200 4466602750 4573801216 5717251520 7146564400 8933205500 9147602432 11166506875 11434503040 14293128800 17866411000 18295204864 22333013750 22869006080 28586257600 35732822000 36590409728 44666027500 45738012160 55832534375 57172515200 71465644000 89332055000 91476024320 111665068750 114345030400 142931288000 178664110000 182952048640 223330137500 228690060800 285862576000 357328220000 446660275000 457380121600 571725152000 714656440000 893320550000 914760243200 1143450304000 1429312880000 1786641100000 2286900608000 2858625760000 3573282200000 4573801216000 5717251520000 7146564400000 11434503040000 14293128800000 22869006080000 28586257600000 57172515200000 114345030400000