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3916650141144 = 2332135671373783
BaseRepresentation
bin111000111111101010100…
…010100101010111011000
3111212102120002020011110200
4320333222202211113120
51003132244414004034
612155141221142200
7552653145620136
oct70775242452730
914772502204420
103916650141144
111280050996aa4
125330a625a960
13225452975520
14d77d172a756
156bd3388aa99
hex38fea8a55d8

3916650141144 has 96 divisors (see below), whose sum is σ = 11423919168480. Its totient is φ = 1205085537792.

The previous prime is 3916650141139. The next prime is 3916650141149. The reversal of 3916650141144 is 4411410566193.

It is a happy number.

3916650141144 is a `hidden beast` number, since 3 + 9 + 1 + 66 + 501 + 41 + 1 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (3916650141139) and next prime (3916650141149).

It is a super-3 number, since 3×39166501411443 (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3916650141144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3916650141149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53046477 + ... + 53120259.

It is an arithmetic number, because the mean of its divisors is an integer number (118999158005).

Almost surely, 23916650141144 is an apocalyptic number.

It is an amenable number.

3916650141144 is an abundant number, since it is smaller than the sum of its proper divisors (7507269027336).

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

3916650141144 is a wasteful number, since it uses less digits than its factorization.

3916650141144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130521 (or 130514 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 3916650141144 in words is "three trillion, nine hundred sixteen billion, six hundred fifty million, one hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 56713 73783 113426 147566 170139 221349 226852 295132 340278 442698 453704 510417 590264 664047 680556 737269 885396 959179 1020834 1328094 1361112 1474538 1770792 1918358 2041668 2211807 2656188 2877537 2949076 3836716 4083336 4423614 5312376 5755074 5898152 6635421 7673432 8632611 8847228 11510148 13270842 17265222 17694456 23020296 26541684 34530444 53083368 69060888 4184455279 8368910558 12553365837 16737821116 25106731674 33475642232 37660097511 50213463348 54397918627 75320195022 100426926696 108795837254 150640390044 163193755881 217591674508 301280780088 326387511762 435183349016 489581267643 652775023524 979162535286 1305550047048 1958325070572 3916650141144