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114337151067117 = 311234130711968049
BaseRepresentation
bin11001111111110100110001…
…010001100010001111101101
3112222211112011122110021002010
4121333310301101202033231
5104441244441133121432
61043101432335151433
733040405122356346
oct3177646121421755
9488745148407063
10114337151067117
1133482128017710
12109a7380675579
134ba4c4097a334
142033d3a46d0cd
15d342896b03cc
hex67fd314623ed

114337151067117 has 64 divisors (see below), whose sum is σ = 178351136409600. Its totient is φ = 64455119308800.

The previous prime is 114337151067089. The next prime is 114337151067119. The reversal of 114337151067117 is 711760151733411.

It is not a de Polignac number, because 114337151067117 - 224 = 114337134289901 is a prime.

It is a super-2 number, since 2×1143371510671172 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114337151067119) 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, 3569509 + ... + 15537557.

It is an arithmetic number, because the mean of its divisors is an integer number (2786736506400).

Almost surely, 2114337151067117 is an apocalyptic number.

It is an amenable number.

114337151067117 is a deficient number, since it is larger than the sum of its proper divisors (64013985342483).

114337151067117 is a wasteful number, since it uses less digits than its factorization.

114337151067117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11968434.

The product of its (nonzero) digits is 370440, while the sum is 48.

The spelling of 114337151067117 in words is "one hundred fourteen trillion, three hundred thirty-seven billion, one hundred fifty-one million, sixty-seven thousand, one hundred seventeen".

Divisors: 1 3 11 23 33 41 69 123 253 307 451 759 921 943 1353 2829 3377 7061 10131 10373 12587 21183 31119 37761 77671 138457 233013 289501 415371 868503 3184511 9553533 11968049 35904147 131648539 275265127 394945617 490690009 825795381 1472070027 3027916397 3674191043 5397590099 9083749191 11022573129 11285870207 16192770297 33857610621 40416101473 84506393989 121248304419 124144572277 150641832763 253519181967 372433716831 451925498289 929570333879 1657060160393 2788711001637 3464762153549 4971180481179 10394286460647 38112383689039 114337151067117