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114643664456032 = 2541141587617153
BaseRepresentation
bin11010000100010010001110…
…111001010100100101100000
3120000220211100002110201200201
4122010102032321110211200
5110011310211100043112
61043454323344554544
733101505610240045
oct3204221671244540
9500824302421621
10114643664456032
1133590117916458
1210a36863322a54
134bc7b0b03700a
142044ad665d1cc
15d3c228ab7257
hex68448ee54960

114643664456032 has 48 divisors (see below), whose sum is σ = 231211715060592. Its totient is φ = 55923253166080.

The previous prime is 114643664456023. The next prime is 114643664456033. The reversal of 114643664456032 is 230654466346411.

It is a super-2 number, since 2×1146436644560322 (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 (114643664456033) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 185453568 + ... + 186070720.

It is an arithmetic number, because the mean of its divisors is an integer number (4816910730429).

Almost surely, 2114643664456032 is an apocalyptic number.

It is an amenable number.

114643664456032 is an abundant number, since it is smaller than the sum of its proper divisors (116568050604560).

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

114643664456032 is a wasteful number, since it uses less digits than its factorization.

114643664456032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758791 (or 758783 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 55.

The spelling of 114643664456032 in words is "one hundred fourteen trillion, six hundred forty-three billion, six hundred sixty-four million, four hundred fifty-six thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 141587 283174 566348 617153 1132696 1234306 2265392 2468612 4530784 4937224 5805067 9874448 11610134 19748896 23220268 25303273 46440536 50606546 92881072 101213092 185762144 202426184 404852368 809704736 87380841811 174761683622 349523367244 699046734488 1398093468976 2796186937952 3582614514251 7165229028502 14330458057004 28660916114008 57321832228016 114643664456032