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142522516441350 = 23352179589789019
BaseRepresentation
bin100000011001111110011011…
…111101110000100100000110
3200200122000112012221211122000
4200121332123331300210012
5122140042103202110400
61223041535024450130
742006624551204223
oct4031763375604406
9620560465854560
10142522516441350
1141459506a82141
1213b9999a479946
13616aa7ac352c6
14272a1ab57694a
15117250ec40600
hex819f9bf70906

142522516441350 has 96 divisors (see below), whose sum is σ = 394922727792000. Its totient is φ = 37793680273440.

The previous prime is 142522516441267. The next prime is 142522516441351. The reversal of 142522516441350 is 53144615225241.

142522516441350 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 2 + 25 + 164 + 413 + 50 = 666.

142522516441350 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 142522516441296 and 142522516441305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142522516441351) 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, 294652860 + ... + 295136159.

It is an arithmetic number, because the mean of its divisors is an integer number (4113778414500).

Almost surely, 2142522516441350 is an apocalyptic number.

142522516441350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142522516441350 is an abundant number, since it is smaller than the sum of its proper divisors (252400211350650).

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

142522516441350 is a wasteful number, since it uses less digits than its factorization.

142522516441350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589789219 (or 589789208 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 142522516441350 in words is "one hundred forty-two trillion, five hundred twenty-two billion, five hundred sixteen million, four hundred forty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 179 225 270 358 450 537 675 895 1074 1350 1611 1790 2685 3222 4475 4833 5370 8055 8950 9666 13425 16110 24165 26850 40275 48330 80550 120825 241650 589789019 1179578038 1769367057 2948945095 3538734114 5308101171 5897890190 8846835285 10616202342 14744725475 15924303513 17693670570 26540505855 29489450950 31848607026 44234176425 53081011710 79621517565 88468352850 105572234401 132702529275 159243035130 211144468802 265405058550 316716703203 398107587825 527861172005 633433406406 796215175650 950150109609 1055722344010 1583583516015 1900300219218 2639305860025 2850450328827 3167167032030 4750750548045 5278611720050 5700900657654 7917917580075 9501501096090 14252251644135 15835835160150 23753752740225 28504503288270 47507505480450 71261258220675 142522516441350