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141113466336120 = 23353474679724277
BaseRepresentation
bin100000000101011110001010…
…000010001011001101111000
3200111122022112002121001200120
4200011132022002023031320
5121444000334340223440
61220042344222533240
741503053150006555
oct4005361202131570
9614568462531616
10141113466336120
1140a65980a20943
12139b089a437220
136097c34386ba5
1426bbcdd031a2c
15114aa42307dd0
hex80578a08b378

141113466336120 has 128 divisors (see below), whose sum is σ = 424651723891200. Its totient is φ = 37513742153216.

The previous prime is 141113466336119. The next prime is 141113466336211. The reversal of 141113466336120 is 21633664311141.

It is a happy number.

141113466336120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 194471422 + ... + 195195698.

It is an arithmetic number, because the mean of its divisors is an integer number (3317591592900).

Almost surely, 2141113466336120 is an apocalyptic number.

141113466336120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141113466336120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212325861945600).

141113466336120 is an abundant number, since it is smaller than the sum of its proper divisors (283538257555080).

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

141113466336120 is a wasteful number, since it uses less digits than its factorization.

141113466336120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729317 (or 729313 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 141113466336120 in words is "one hundred forty-one trillion, one hundred thirteen billion, four hundred sixty-six million, three hundred thirty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 347 694 1041 1388 1735 2082 2776 3470 4164 4679 5205 6940 8328 9358 10410 13880 14037 18716 20820 23395 28074 37432 41640 46790 56148 70185 93580 112296 140370 187160 280740 561480 724277 1448554 1623613 2172831 2897108 3247226 3621385 4345662 4870839 5794216 6494452 7242770 8118065 8691324 9741678 10864155 12988904 14485540 16236130 17382648 19483356 21728310 24354195 28971080 32472260 38966712 43456620 48708390 64944520 86913240 97416780 194833560 251324119 502648238 753972357 1005296476 1256620595 1507944714 2010592952 2513241190 3015889428 3388892083 3769861785 5026482380 6031778856 6777784166 7539723570 10052964760 10166676249 13555568332 15079447140 16944460415 20333352498 27111136664 30158894280 33888920830 40666704996 50833381245 67777841660 81333409992 101666762490 135555683320 203333524980 406667049960 1175945552801 2351891105602 3527836658403 4703782211204 5879727764005 7055673316806 9407564422408 11759455528010 14111346633612 17639183292015 23518911056020 28222693267224 35278366584030 47037822112040 70556733168060 141113466336120