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142240218146064 = 24333110621282717
BaseRepresentation
bin100000010101110111100001…
…101011001110010100010000
3200122122000212100220120201000
4200111313201223032110100
5122120430431321133224
61222304130520342000
741650342130244243
oct4025674153162420
9618560770816630
10142240218146064
114135a812a48675
1213b53135314900
13614a26c5b50ac
14271a66b3b325a
151169edb6660c9
hex815de1ace510

142240218146064 has 80 divisors (see below), whose sum is σ = 421452498250240. Its totient is φ = 45883941333120.

The previous prime is 142240218146053. The next prime is 142240218146071. The reversal of 142240218146064 is 460641812042241.

142240218146064 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 4 + 0 + 2 + 181 + 460 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5310627967 + ... + 5310654750.

It is an arithmetic number, because the mean of its divisors is an integer number (5268156228128).

Almost surely, 2142240218146064 is an apocalyptic number.

It is an amenable number.

142240218146064 is an abundant number, since it is smaller than the sum of its proper divisors (279212280104176).

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

142240218146064 is a wasteful number, since it uses less digits than its factorization.

142240218146064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10621282765 (or 10621282753 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 142240218146064 in words is "one hundred forty-two trillion, two hundred forty billion, two hundred eighteen million, one hundred forty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 13392 10621282717 21242565434 31863848151 42485130868 63727696302 84970261736 95591544453 127455392604 169940523472 191183088906 254910785208 286774633359 329259764227 382366177812 509821570416 573549266718 658519528454 764732355624 987779292681 1147098533436 1317039056908 1529464711248 1975558585362 2294197066872 2634078113816 2963337878043 3951117170724 4588394133744 5268156227632 5926675756086 7902234341448 8890013634129 11853351512172 15804468682896 17780027268258 23706703024344 35560054536516 47413406048688 71120109073032 142240218146064