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114030222014000 = 245358797129661
BaseRepresentation
bin11001111011010110111010…
…111000000111011000110000
3112221202011221020021212101002
4121323112322320013120300
5104421232343313422000
61042304432200301132
733006261126433655
oct3173267270073060
9487664836255332
10114030222014000
1133373a44624236
12109579a27717a8
134b820084562c6
142023140d9bc2c
15d2b2c3a4d8d5
hex67b5bae07630

114030222014000 has 80 divisors (see below), whose sum is σ = 276194798714016. Its totient is φ = 45534384608000.

The previous prime is 114030222013979. The next prime is 114030222014003. The reversal of 114030222014000 is 410222030411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (114030222014003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47390831 + ... + 49738830.

Almost surely, 2114030222014000 is an apocalyptic number.

114030222014000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114030222014000 is an abundant number, since it is smaller than the sum of its proper divisors (162164576700016).

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

114030222014000 is an equidigital number, since it uses as much as digits as its factorization.

114030222014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97130271 (or 97130255 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 114030222014000 its reverse (410222030411), we get a palindrome (114440444044411).

The spelling of 114030222014000 in words is "one hundred fourteen trillion, thirty billion, two hundred twenty-two million, fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 587 1000 1174 2000 2348 2935 4696 5870 9392 11740 14675 23480 29350 46960 58700 73375 117400 146750 234800 293500 587000 1174000 97129661 194259322 388518644 485648305 777037288 971296610 1554074576 1942593220 2428241525 3885186440 4856483050 7770372880 9712966100 12141207625 19425932200 24282415250 38851864400 48564830500 57015111007 97129661000 114030222014 194259322000 228060444028 285075555035 456120888056 570151110070 912241776112 1140302220140 1425377775175 2280604440280 2850755550350 4561208880560 5701511100700 7126888875875 11403022201400 14253777751750 22806044402800 28507555503500 57015111007000 114030222014000