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114035421990 = 23572144753611
BaseRepresentation
bin110101000110100001…
…0100111001100100110
3101220100022202122122210
41222031002213030212
53332021032000430
6124215342504250
711144622044100
oct1521502471446
9356308678583
10114035421990
11443a9028406
121a126295086
13a9a4571479
14573b118570
152e765182b0
hex1a8d0a7326

114035421990 has 96 divisors (see below), whose sum is σ = 318594242304. Its totient is φ = 26046740160.

The previous prime is 114035421989. The next prime is 114035422019. The reversal of 114035421990 is 99124530411.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2100285 + ... + 2153895.

It is an arithmetic number, because the mean of its divisors is an integer number (3318690024).

Almost surely, 2114035421990 is an apocalyptic number.

114035421990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114035421990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159297121152).

114035421990 is an abundant number, since it is smaller than the sum of its proper divisors (204558820314).

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

114035421990 is a wasteful number, since it uses less digits than its factorization.

114035421990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55082 (or 55075 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 114035421990 in words is "one hundred fourteen billion, thirty-five million, four hundred twenty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1447 1470 2894 4341 7235 8682 10129 14470 20258 21705 30387 43410 50645 53611 60774 70903 101290 107222 141806 151935 160833 212709 268055 303870 321666 354515 375277 425418 536110 709030 750554 804165 1063545 1125831 1608330 1876385 2127090 2251662 2626939 3752770 5253878 5629155 7880817 11258310 13134695 15761634 26269390 39404085 77575117 78808170 155150234 232725351 387875585 465450702 543025819 775751170 1086051638 1163626755 1629077457 2327253510 2715129095 3258154914 3801180733 5430258190 7602361466 8145387285 11403542199 16290774570 19005903665 22807084398 38011807330 57017710995 114035421990