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114300343408 = 24291273136197
BaseRepresentation
bin110101001110011010…
…1001101010001110000
3101221000210021001112011
41222130311031101300
53333041341442113
6124301525012304
711154316613536
oct1523465152160
9357023231464
10114300343408
1144524622829
121a19ab54094
13aa174097c4
14576439a156
152e8e8e863d
hex1a9cd4d470

114300343408 has 80 divisors (see below), whose sum is σ = 231672314880. Its totient is φ = 54561282048.

The previous prime is 114300343363. The next prime is 114300343429. The reversal of 114300343408 is 804343003411.

It is a self number, because there is not a number n which added to its sum of digits gives 114300343408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18441366 + ... + 18447562.

It is an arithmetic number, because the mean of its divisors is an integer number (2895903936).

Almost surely, 2114300343408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114300343408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115836157440).

114300343408 is an abundant number, since it is smaller than the sum of its proper divisors (117371971472).

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

114300343408 is a wasteful number, since it uses less digits than its factorization.

114300343408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6674 (or 6668 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 114300343408 its reverse (804343003411), we get a palindrome (918643346819).

It can be divided in two parts, 114300 and 343408, that multiplied together give a square (39251534400 = 1981202).

The spelling of 114300343408 in words is "one hundred fourteen billion, three hundred million, three hundred forty-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 29 58 116 127 232 254 313 464 508 626 1016 1252 2032 2504 3683 5008 6197 7366 9077 12394 14732 18154 24788 29464 36308 39751 49576 58928 72616 79502 99152 145232 159004 179713 318008 359426 636016 718852 787019 1152779 1437704 1574038 1939661 2305558 2875408 3148076 3879322 4611116 6296152 7758644 9222232 12592304 15517288 18444464 22823551 31034576 45647102 56250169 91294204 112500338 182588408 225000676 246336947 365176816 450001352 492673894 900002704 985347788 1970695576 3941391152 7143771463 14287542926 28575085852 57150171704 114300343408