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114430023051234 = 23117960373635363
BaseRepresentation
bin11010000001001011010000…
…111000000010011111100010
3120000011101220001110212202120
4122001023100320002133202
5104444310141400114414
61043212232112125110
733050203434250422
oct3201132070023742
9500141801425676
10114430023051234
11335085559119a0
1210a0137b236796
134bb09217b14a7
14203862a96c482
15d368c2c452a9
hex6812d0e027e2

114430023051234 has 64 divisors (see below), whose sum is σ = 252867776624640. Its totient is φ = 34231150249920.

The previous prime is 114430023051217. The next prime is 114430023051271. The reversal of 114430023051234 is 432150320034411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 114430023051195 and 114430023051204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29659237 + ... + 33294599.

It is an arithmetic number, because the mean of its divisors is an integer number (3951059009760).

Almost surely, 2114430023051234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114430023051234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126433888312320).

114430023051234 is an abundant number, since it is smaller than the sum of its proper divisors (138437753573406).

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

114430023051234 is a wasteful number, since it uses less digits than its factorization.

114430023051234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3641495.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 114430023051234 its reverse (432150320034411), we get a palindrome (546580343085645).

The spelling of 114430023051234 in words is "one hundred fourteen trillion, four hundred thirty billion, twenty-three million, fifty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 79 158 237 474 869 1738 2607 5214 6037 12074 18111 36222 66407 132814 199221 398442 476923 953846 1430769 2861538 3635363 5246153 7270726 10492306 10906089 15738459 21812178 31476918 39988993 79977986 119966979 239933958 287193677 574387354 861581031 1723162062 3159130447 6318260894 9477391341 18954782682 21946686431 43893372862 65840059293 131680118586 241413550741 482827101482 724240652223 1448481304446 1733788228049 3467576456098 5201364684147 10402729368294 19071670508539 38143341017078 57215011525617 114430023051234