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132101344002144 = 253111171271068037
BaseRepresentation
bin11110000010010100111101…
…101011110000000001100000
3122022201202122210110212022210
4132002110331223300001200
5114303322023031032034
61144542304124402120
736553002311052606
oct3602247553600140
9568652583425283
10132101344002144
11391009578a5890
12129961609a6340
135893145bcc31a
142489a4c3a5876
1510413d47938e9
hex78253daf0060

132101344002144 has 96 divisors (see below), whose sum is σ = 378293796308736. Its totient is φ = 40030331051520.

The previous prime is 132101344002049. The next prime is 132101344002151. The reversal of 132101344002144 is 441200443101231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 123152094 + ... + 124220130.

It is an arithmetic number, because the mean of its divisors is an integer number (3940560378216).

Almost surely, 2132101344002144 is an apocalyptic number.

It is an amenable number.

132101344002144 is an abundant number, since it is smaller than the sum of its proper divisors (246192452306592).

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

132101344002144 is a wasteful number, since it uses less digits than its factorization.

132101344002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185188 (or 1185180 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 132101344002144 its reverse (441200443101231), we get a palindrome (573301787103375).

The spelling of 132101344002144 in words is "one hundred thirty-two trillion, one hundred one billion, three hundred forty-four million, two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 117127 234254 351381 468508 702762 937016 1068037 1288397 1405524 1874032 2136074 2576794 2811048 3204111 3748064 3865191 4272148 5153588 5622096 6408222 7730382 8544296 10307176 11244192 11748407 12816444 15460764 17088592 20614352 23496814 25632888 30921528 34177184 35245221 41228704 46993628 51265776 61843056 70490442 93987256 102531552 123686112 140980884 187974512 281961768 375949024 563923536 1127847072 125095969699 250191939398 375287909097 500383878796 750575818194 1000767757592 1376055666689 1501151636388 2001535515184 2752111333378 3002303272776 4003071030368 4128167000067 5504222666756 6004606545552 8256334000134 11008445333512 12009213091104 16512668000268 22016890667024 33025336000536 44033781334048 66050672001072 132101344002144