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58142129104440 = 23325274259588881
BaseRepresentation
bin11010011100001010001001…
…11100111010011000111000
321121212022222221112020222100
431032011010330322120320
530110100040022320230
6323354043025223400
715150426106042263
oct1516050474723070
9247768887466870
1058142129104440
1117586a36132107
126630401491b60
132659a19017424
141050146179cda
156ac6246ac660
hex34e144f3a638

58142129104440 has 96 divisors (see below), whose sum is σ = 188962929464400. Its totient is φ = 15504484899840.

The previous prime is 58142129104379. The next prime is 58142129104457. The reversal of 58142129104440 is 4440192124185.

58142129104440 is a `hidden beast` number, since 5 + 81 + 4 + 2 + 1 + 29 + 104 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98438800 + ... + 99027680.

Almost surely, 258142129104440 is an apocalyptic number.

It is an amenable number.

58142129104440 is an abundant number, since it is smaller than the sum of its proper divisors (130820800359960).

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

58142129104440 is a wasteful number, since it uses less digits than its factorization.

58142129104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863157 (or 863150 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 58142129104440 in words is "fifty-eight trillion, one hundred forty-two billion, one hundred twenty-nine million, one hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 274259 548518 588881 822777 1097036 1177762 1371295 1645554 1766643 2194072 2355524 2468331 2742590 2944405 3291108 3533286 4113885 4711048 4936662 5299929 5485180 5888810 6582216 7066572 8227770 8833215 9873324 10599858 10970360 11777620 12341655 14133144 16455540 17666430 19746648 21199716 23555240 24683310 26499645 32911080 35332860 42399432 49366620 52999290 70665720 98733240 105998580 211997160 161505914179 323011828358 484517742537 646023656716 807529570895 969035485074 1292047313432 1453553227611 1615059141790 1938070970148 2422588712685 2907106455222 3230118283580 3876141940296 4845177425370 5814212910444 6460236567160 7267766138055 9690354850740 11628425820888 14535532276110 19380709701480 29071064552220 58142129104440