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131045404414540 = 225721146126369513
BaseRepresentation
bin11101110010111101100010…
…110001111001001001001100
3122011222211002112211221202211
4131302331202301321021030
5114134021442012231130
61142413232214400204
736413501166465100
oct3562754261711114
9564884075757684
10131045404414540
1138834053499860
1212845588960064
1358176b448a8b5
1424508ba867900
151023bd1ed4a2a
hex772f62c7924c

131045404414540 has 144 divisors (see below), whose sum is σ = 349985049964704. Its totient is φ = 40756717747200.

The previous prime is 131045404414513. The next prime is 131045404414549. The reversal of 131045404414540 is 45414404540131.

It is a junction number, because it is equal to n+sod(n) for n = 131045404414493 and 131045404414502.

It is not an unprimeable number, because it can be changed into a prime (131045404414549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8215177 + ... + 18154336.

It is an arithmetic number, because the mean of its divisors is an integer number (2430451735866).

Almost surely, 2131045404414540 is an apocalyptic number.

131045404414540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131045404414540 is an abundant number, since it is smaller than the sum of its proper divisors (218939645550164).

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

131045404414540 is a wasteful number, since it uses less digits than its factorization.

131045404414540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26370008 (or 26369999 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

Adding to 131045404414540 its reverse (45414404540131), we get a palindrome (176459808954671).

The spelling of 131045404414540 in words is "one hundred thirty-one trillion, forty-five billion, four hundred four million, four hundred fourteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 461 490 539 770 922 980 1078 1540 1844 2156 2305 2695 3227 4610 5071 5390 6454 9220 10142 10780 12908 16135 20284 22589 25355 32270 35497 45178 50710 64540 70994 90356 101420 112945 141988 177485 225890 248479 354970 451780 496958 709940 993916 1242395 2484790 4969580 26369513 52739026 105478052 131847565 184586591 263695130 290064643 369173182 527390260 580129286 738346364 922932955 1160258572 1292106137 1450323215 1845865910 2030452501 2584212274 2900646430 3691731820 4060905002 5168424548 5801292860 6460530685 8121810004 10152262505 12156345493 12921061370 14213167507 20304525010 24312690986 25842122740 28426335014 40609050020 48625381972 56852670028 60781727465 71065837535 85094418451 121563454930 133719800423 142131675070 170188836902 243126909860 267439600846 284263350140 340377673804 425472092255 534879201692 595660929157 668599002115 850944184510 936038602961 1191321858314 1337198004230 1701888369020 1872077205922 2382643716628 2674396008460 2978304645785 3744154411844 4680193014805 5956609291570 6552270220727 9360386029610 11913218583140 13104540441454 18720772059220 26209080882908 32761351103635 65522702207270 131045404414540