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114543151200153 = 331311532011140741
BaseRepresentation
bin11010000010110100100111…
…110101101011011110011001
3120000120012220011001021202000
4122002310213311223132121
5110003133333201401103
61043340221445031213
733061320031534524
oct3202644765533631
9500505804037660
10114543151200153
113355152879a645
1210a1b2916b5509
134bbb4b00b0990
14203dcbd395bbb
15d397e4796aa3
hex682d27d6b799

114543151200153 has 64 divisors (see below), whose sum is σ = 182997657480960. Its totient is φ = 70391437516800.

The previous prime is 114543151200113. The next prime is 114543151200167. The reversal of 114543151200153 is 351002151345411.

114543151200153 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 431 + 5 + 1 + 200 + 15 + 3 = 666.

It is not a de Polignac number, because 114543151200153 - 26 = 114543151200089 is a prime.

It is a super-2 number, since 2×1145431512001532 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114543151200113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 813787363 + ... + 813928103.

It is an arithmetic number, because the mean of its divisors is an integer number (2859338398140).

Almost surely, 2114543151200153 is an apocalyptic number.

114543151200153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114543151200153 is a deficient number, since it is larger than the sum of its proper divisors (68454506280807).

114543151200153 is a wasteful number, since it uses less digits than its factorization.

114543151200153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143927 (or 143921 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 114543151200153 in words is "one hundred fourteen trillion, five hundred forty-three billion, one hundred fifty-one million, two hundred thousand, one hundred fifty-three".

Divisors: 1 3 9 13 27 39 117 351 1153 2011 3459 6033 10377 14989 18099 26143 31131 44967 54297 78429 134901 140741 235287 404703 422223 705861 1266669 1829633 2318683 3800007 5488899 6956049 16466697 20868147 30142879 49400091 62604441 90428637 162274373 271285911 283030151 486823119 813857733 849090453 1460469357 2109566849 2547271359 3679391963 4381408071 6328700547 7641814077 11038175889 18986101641 33114527667 56958304923 99343583001 326333764103 979001292309 2937003876927 4242338933339 8811011630781 12727016800017 38181050400051 114543151200153