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142363212266124 = 22343123096138569
BaseRepresentation
bin100000010111101010000100…
…101100100011101010001100
3200200001210100001001020210000
4200113222010230203222030
5122124434324320003444
61222440431251244300
741662255054102533
oct4027520454435214
9620053301036700
10142363212266124
11413a7998a17483
1213b72b3b8a9690
136158a40ba5525
1427225b823131a
15116d2d93ed469
hex817a84b23a8c

142363212266124 has 120 divisors (see below), whose sum is σ = 384337340956800. Its totient is φ = 45903720418560.

The previous prime is 142363212266123. The next prime is 142363212266141. The reversal of 142363212266124 is 421662212363241.

142363212266124 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 6 + 3 + 2 + 1 + 2 + 26 + 612 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 142363212266124.

It is not an unprimeable number, because it can be changed into a prime (142363212266123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20122312 + ... + 26260880.

It is an arithmetic number, because the mean of its divisors is an integer number (3202811174640).

Almost surely, 2142363212266124 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 142363212266124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192168670478400).

142363212266124 is an abundant number, since it is smaller than the sum of its proper divisors (241974128690676).

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

142363212266124 is a wasteful number, since it uses less digits than its factorization.

142363212266124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6140925 (or 6140914 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 142363212266124 in words is "one hundred forty-two trillion, three hundred sixty-three billion, two hundred twelve million, two hundred sixty-six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1674 2309 2511 3348 4618 5022 6927 9236 10044 13854 20781 27708 41562 62343 71579 83124 124686 143158 187029 214737 249372 286316 374058 429474 644211 748116 858948 1288422 1932633 2576844 3865266 5797899 6138569 7730532 11595798 12277138 18415707 23191596 24554276 36831414 55247121 73662828 110494242 165741363 190295639 220988484 331482726 380591278 497224089 570886917 662965452 761182556 994448178 1141773834 1712660751 1988896356 2283547668 3425321502 5137982253 6850643004 10275964506 14173955821 15413946759 20551929012 28347911642 30827893518 42521867463 56695823284 61655787036 85043734926 127565602389 170087469852 255131204778 382696807167 439392630451 510262409556 765393614334 878785260902 1148090421501 1318177891353 1530787228668 1757570521804 2296180843002 2636355782706 3954533674059 4592361686004 5272711565412 7909067348118 11863601022177 15818134696236 23727202044354 35590803066531 47454404088708 71181606133062 142363212266124