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141115803788664 = 23341019224395279
BaseRepresentation
bin100000000101100000010101…
…010110110110010101111000
3200111122112112222220221210000
4200011200111112312111320
5121444020131232214124
61220043412202353000
741503165112016165
oct4005402526662570
9614575488827700
10141115803788664
1140a669703a2601
12139b12311bb760
1360982177131c3
1426bc08164d06c
15114ab2c6266c9
hex8058155b6578

141115803788664 has 160 divisors (see below), whose sum is σ = 395823342816000. Its totient is φ = 46970996033088.

The previous prime is 141115803788653. The next prime is 141115803788671. The reversal of 141115803788664 is 466887308511141.

It is a happy number.

141115803788664 is a `hidden beast` number, since 1 + 4 + 1 + 11 + 580 + 37 + 8 + 8 + 6 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1481032177 + ... + 1481127455.

It is an arithmetic number, because the mean of its divisors is an integer number (2473895892600).

Almost surely, 2141115803788664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141115803788664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197911671408000).

141115803788664 is an abundant number, since it is smaller than the sum of its proper divisors (254707539027336).

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

141115803788664 is a wasteful number, since it uses less digits than its factorization.

141115803788664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98559 (or 98546 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 141115803788664 in words is "one hundred forty-one trillion, one hundred fifteen billion, eight hundred three million, seven hundred eighty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1019 2038 2243 3057 4076 4486 6114 6729 8152 8972 9171 12228 13458 17944 18342 20187 24456 26916 27513 36684 40374 53832 55026 60561 73368 80748 82539 95279 110052 121122 161496 165078 181683 190558 220104 242244 285837 330156 363366 381116 484488 571674 660312 726732 762232 857511 1143348 1453464 1715022 2285617 2286696 2572533 3430044 4571234 5145066 6856851 6860088 7717599 9142468 10290132 13713702 15435198 18284936 20570553 20580264 27427404 30870396 41141106 54854808 61711659 61740792 82282212 97089301 123423318 164564424 185134977 194178602 213710797 246846636 291267903 370269954 388357204 427421594 493693272 582535806 641132391 740539908 776714408 854843188 873803709 1165071612 1282264782 1481079816 1709686376 1747607418 1923397173 2330143224 2564529564 2621411127 3495214836 3846794346 5129059128 5242822254 5770191519 6990429672 7693588692 7864233381 10485644508 11540383038 15387177384 15728466762 17310574557 20971289016 23080766076 31456933524 34621149114 46161532152 62913867048 69242298228 138484596456 217771302143 435542604286 653313906429 871085208572 1306627812858 1742170417144 1959941719287 2613255625716 3919883438574 5226511251432 5879825157861 7839766877148 11759650315722 15679533754296 17639475473583 23519300631444 35278950947166 47038601262888 70557901894332 141115803788664