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331142024134002 = 232334752113272967
BaseRepresentation
bin100101101001011000000001…
…0101101111111110101110010
31121102110212110000112022102110
41023102300002231333311302
5321400412331134242002
63132140313520030150
7126515136025144044
oct11322600255776562
91542425400468373
10331142024134002
119656a5a8850424
1231181661a62356
13112a0735b48bc3
145bab5065d5a94
152843b6d64de6c
hex12d2c02b7fd72

331142024134002 has 64 divisors (see below), whose sum is σ = 694400911202304. Its totient is φ = 105075169879680.

The previous prime is 331142024133967. The next prime is 331142024134069. The reversal of 331142024134002 is 200431420241133.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18312123 + ... + 31585089.

It is an arithmetic number, because the mean of its divisors is an integer number (10850014237536).

Almost surely, 2331142024134002 is an apocalyptic number.

331142024134002 is an abundant number, since it is smaller than the sum of its proper divisors (363258887068302).

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

331142024134002 is a wasteful number, since it uses less digits than its factorization.

331142024134002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13273863.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 331142024134002 its reverse (200431420241133), we get a palindrome (531573444375135).

The spelling of 331142024134002 in words is "three hundred thirty-one trillion, one hundred forty-two billion, twenty-four million, one hundred thirty-four thousand, two".

Divisors: 1 2 3 6 23 46 69 138 347 521 694 1041 1042 1563 2082 3126 7981 11983 15962 23943 23966 35949 47886 71898 180787 361574 542361 1084722 4158101 8316202 12474303 13272967 24948606 26545934 39818901 79637802 305278241 610556482 915834723 1831669446 4605719549 6915215807 9211439098 13817158647 13830431614 20745647421 27634317294 41491294842 105931549627 159049963561 211863099254 317794648881 318099927122 477149890683 635589297762 954299781366 2399579885029 4799159770058 7198739655087 14397479310174 55190337355667 110380674711334 165571012067001 331142024134002