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114123544472 = 237453112103
BaseRepresentation
bin110101001001001001…
…0110001011110011000
3101220120110120201222102
41222102102301132120
53332211111410342
6124232211342532
711150042060000
oct1522222613630
9356513521872
10114123544472
1144443847103
121a14b8b1a48
13a9b98b6952
145748ad7000
152e7e123832
hex1a924b1798

114123544472 has 80 divisors (see below), whose sum is σ = 254342676240. Its totient is φ = 47986830528.

The previous prime is 114123544471. The next prime is 114123544511. The reversal of 114123544472 is 274445321411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114123544471) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 961973 + ... + 1074075.

It is an arithmetic number, because the mean of its divisors is an integer number (3179283453).

Almost surely, 2114123544472 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 114123544472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127171338120).

114123544472 is an abundant number, since it is smaller than the sum of its proper divisors (140219131768).

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

114123544472 is an equidigital number, since it uses as much as digits as its factorization.

114123544472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112190 (or 112165 counting only the distinct ones).

The product of its digits is 107520, while the sum is 38.

Adding to 114123544472 its reverse (274445321411), we get a palindrome (388568865883).

The spelling of 114123544472 in words is "one hundred fourteen billion, one hundred twenty-three million, five hundred forty-four thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 49 53 56 98 106 196 212 343 371 392 424 686 742 1372 1484 2401 2597 2744 2968 4802 5194 9604 10388 18179 19208 20776 36358 72716 112103 127253 145432 224206 254506 448412 509012 784721 896824 1018024 1569442 3138884 5493047 5941459 6277768 10986094 11882918 21972188 23765836 38451329 41590213 43944376 47531672 76902658 83180426 153805316 166360852 269159303 291131491 307610632 332721704 538318606 582262982 1076637212 1164525964 2037920437 2153274424 2329051928 4075840874 8151681748 14265443059 16303363496 28530886118 57061772236 114123544472