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107807047041441 = 31123753257589291
BaseRepresentation
bin11000100000110011001000…
…101111100100000110100001
3112010201020211110200001011110
4120200303020233210012201
5103112302313020311231
61021141512415133533
731464542061110016
oct3040631057440641
9463636743601143
10107807047041441
1131394791592800
1210111889b142a9
1348202126b4737
141c89c6329370d
15c6e496cbd046
hex620cc8be41a1

107807047041441 has 96 divisors (see below), whose sum is σ = 165973686367104. Its totient is φ = 62129457561600.

The previous prime is 107807047041439. The next prime is 107807047041451. The reversal of 107807047041441 is 144140740708701.

It is not a de Polignac number, because 107807047041441 - 21 = 107807047041439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107807047041451) 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 95 ways as a sum of consecutive naturals, for example, 182649006 + ... + 183238296.

It is an arithmetic number, because the mean of its divisors is an integer number (1728892566324).

Almost surely, 2107807047041441 is an apocalyptic number.

107807047041441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107807047041441 is a deficient number, since it is larger than the sum of its proper divisors (58166639325663).

107807047041441 is a wasteful number, since it uses less digits than its factorization.

107807047041441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589663 (or 589652 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 48.

The spelling of 107807047041441 in words is "one hundred seven trillion, eight hundred seven billion, forty-seven million, forty-one thousand, four hundred forty-one".

Divisors: 1 3 11 33 37 53 111 121 159 257 363 407 583 771 1221 1749 1961 2827 4477 5883 6413 8481 9509 13431 13621 19239 21571 28527 31097 40863 64713 93291 104599 149831 237281 313797 449493 503977 589291 711843 1150589 1511931 1648141 1767873 3451767 4944423 5543747 6482201 16631241 19446603 21803767 31232423 60981217 65411301 71304211 93697269 151447787 182943651 213912633 239841437 343556653 454343361 719524311 1030669959 1155599651 1665925657 2638255807 3466798953 3779123183 4997776971 5603568119 7914767421 8026732711 11337369549 12711596161 16810704357 18325182227 24080198133 38134788483 54975546681 61639249309 88294059821 139827557771 184917747927 264882179463 296989110307 419482673313 678031742399 890967330921 971234658031 2034095227197 2913703974093 3266880213377 9800640640131 35935682347147 107807047041441