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114154971890 = 25137257349929
BaseRepresentation
bin110101001010000101…
…0101010001011110010
3101220122122201102021212
41222110022222023302
53332242133100030
6124235253120122
711150603152061
oct1522412521362
9356578642255
10114154971890
114445a561a83
121a15a329042
13a9c326b55b
14574cd581d8
152e81c80595
hex1a942aa2f2

114154971890 has 64 divisors (see below), whose sum is σ = 208603836000. Its totient is φ = 44974473216.

The previous prime is 114154971871. The next prime is 114154971937. The reversal of 114154971890 is 98179451411.

It can be written as a sum of positive squares in 16 ways, for example, as 25727839201 + 88427132689 = 160399^2 + 297367^2 .

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 31 ways as a sum of consecutive naturals, for example, 122878946 + ... + 122879874.

Almost surely, 2114154971890 is an apocalyptic number.

114154971890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114154971890 is a deficient number, since it is larger than the sum of its proper divisors (94448864110).

114154971890 is a wasteful number, since it uses less digits than its factorization.

114154971890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679.

The product of its (nonzero) digits is 362880, while the sum is 50.

The spelling of 114154971890 in words is "one hundred fourteen billion, one hundred fifty-four million, nine hundred seventy-one thousand, eight hundred ninety".

Divisors: 1 2 5 10 137 257 274 349 514 685 698 929 1285 1370 1745 1858 2570 3490 4645 9290 35209 47813 70418 89693 95626 127273 176045 179386 238753 239065 254546 324221 352090 448465 477506 478130 636365 648442 896930 1193765 1272730 1621105 2387530 3242210 12287941 24575882 32709161 44418277 61439705 65418322 83324797 88836554 122879410 163545805 166649594 222091385 327091610 416623985 444182770 833247970 11415497189 22830994378 57077485945 114154971890