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142210435033440 = 2532598757246551
BaseRepresentation
bin100000010101011011110010…
…011101101010100101100000
3200122112011222201201200212200
4200111123302131222211200
5122114433432332032230
61222242323313053200
741645236103046144
oct4025336235524540
9618464881650780
10142210435033440
114134911a181304
1213b49402b57200
13614750413aa27
142719043aa5224
151169346ad0160
hex8156f276a960

142210435033440 has 72 divisors (see below), whose sum is σ = 485293109556528. Its totient is φ = 37922782675200.

The previous prime is 142210435033409. The next prime is 142210435033483. The reversal of 142210435033440 is 44330534012241.

142210435033440 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 104 + 3 + 503 + 3 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 142210435033395 and 142210435033404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49378621836 + ... + 49378624715.

It is an arithmetic number, because the mean of its divisors is an integer number (6740182077174).

Almost surely, 2142210435033440 is an apocalyptic number.

142210435033440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142210435033440 is an abundant number, since it is smaller than the sum of its proper divisors (343082674523088).

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

142210435033440 is a wasteful number, since it uses less digits than its factorization.

142210435033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98757246572 (or 98757246561 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 142210435033440 its reverse (44330534012241), we get a palindrome (186540969045681).

The spelling of 142210435033440 in words is "one hundred forty-two trillion, two hundred ten billion, four hundred thirty-five million, thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 98757246551 197514493102 296271739653 395028986204 493786232755 592543479306 790057972408 888815218959 987572465510 1185086958612 1481358698265 1580115944816 1777630437918 1975144931020 2370173917224 2962717396530 3160231889632 3555260875836 3950289862040 4444076094795 4740347834448 5925434793060 7110521751672 7900579724080 8888152189590 9480695668896 11850869586120 14221043503344 15801159448160 17776304379180 23701739172240 28442087006688 35552608758360 47403478344480 71105217516720 142210435033440