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142450301664 = 253211263170971
BaseRepresentation
bin1000010010101010110…
…0110001101011100000
3111121200121101002201200
42010222230301223200
54313214234123124
6145235112201200
713202023404636
oct2045254615340
9447617332650
10142450301664
115545a533040
1223736399200
1310582410438
146c74c23356
153a8add1bc9
hex212ab31ae0

142450301664 has 144 divisors (see below), whose sum is σ = 443602583424. Its totient is φ = 43002374400.

The previous prime is 142450301603. The next prime is 142450301689. The reversal of 142450301664 is 466103054241.

142450301664 is a `hidden beast` number, since 1 + 42 + 450 + 3 + 0 + 166 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 747699 + ... + 918669.

It is an arithmetic number, because the mean of its divisors is an integer number (3080573496).

Almost surely, 2142450301664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142450301664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221801291712).

142450301664 is an abundant number, since it is smaller than the sum of its proper divisors (301152281760).

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

142450301664 is a wasteful number, since it uses less digits than its factorization.

142450301664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171261 (or 171250 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 142450301664 in words is "one hundred forty-two billion, four hundred fifty million, three hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 263 264 288 352 396 526 528 789 792 1052 1056 1578 1584 2104 2367 2893 3156 3168 4208 4734 5786 6312 8416 8679 9468 11572 12624 17358 18936 23144 25248 26037 34716 37872 46288 52074 69432 75744 92576 104148 138864 170971 208296 277728 341942 416592 512913 683884 833184 1025826 1367768 1538739 1880681 2051652 2735536 3077478 3761362 4103304 5471072 5642043 6154956 7522724 8206608 11284086 12309912 15045448 16413216 16926129 22568172 24619824 30090896 33852258 44965373 45136344 49239648 60181792 67704516 89930746 90272688 134896119 135409032 179861492 180545376 269792238 270818064 359722984 404688357 494619103 539584476 541636128 719445968 809376714 989238206 1079168952 1438891936 1483857309 1618753428 1978476412 2158337904 2967714618 3237506856 3956952824 4316675808 4451571927 5935429236 6475013712 7913905648 8903143854 11870858472 12950027424 15827811296 17806287708 23741716944 35612575416 47483433888 71225150832 142450301664