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142424032166064 = 243211125037191407
BaseRepresentation
bin100000011000100010101101…
…110110000100000010110000
3200200021121022200102021210200
4200120202231312010002300
5122131433404213303224
61222524410324555200
741666540200525215
oct4030425566040260
9620247280367720
10142424032166064
11414207691974a0
1213b82894252b00
1361616b44622bc
14272550794db0c
15116eb98b095c9
hex8188add840b0

142424032166064 has 120 divisors (see below), whose sum is σ = 434859724196352. Its totient is φ = 43155339749760.

The previous prime is 142424032166057. The next prime is 142424032166093. The reversal of 142424032166064 is 460661230424241.

142424032166064 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 2 + 4 + 0 + 32 + 1 + 6 + 606 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16209049 + ... + 23400455.

Almost surely, 2142424032166064 is an apocalyptic number.

It is an amenable number.

142424032166064 is an abundant number, since it is smaller than the sum of its proper divisors (292435692030288).

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

142424032166064 is a wasteful number, since it uses less digits than its factorization.

142424032166064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7203935 (or 7203926 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 142424032166064 in words is "one hundred forty-two trillion, four hundred twenty-four billion, thirty-two million, one hundred sixty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 12503 25006 37509 50012 75018 100024 112527 137533 150036 200048 225054 275066 300072 412599 450108 550132 600144 825198 900216 1100264 1237797 1650396 1800432 2200528 2475594 3300792 4951188 6601584 7191407 9902376 14382814 19804752 21574221 28765628 43148442 57531256 64722663 79105477 86296884 115062512 129445326 158210954 172593768 237316431 258890652 316421908 345187536 474632862 517781304 632843816 711949293 949265724 1035562608 1265687632 1423898586 1898531448 2847797172 3797062896 5695594344 11391188688 89914161721 179828323442 269742485163 359656646884 539484970326 719313293768 809227455489 989055778931 1078969940652 1438626587536 1618454910978 1978111557862 2157939881304 2967167336793 3236909821956 3956223115724 4315879762608 5934334673586 6473819643912 7912446231448 8901502010379 11868669347172 12947639287824 15824892462896 17803004020758 23737338694344 35606008041516 47474677388688 71212016083032 142424032166064