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2542025304148 = 2211217308948141
BaseRepresentation
bin100100111111011100100…
…000111110100001010100
3100000000102010002012200211
4210333130200332201110
5313122031434213043
65223442412215204
7351440520400141
oct44773440764124
910000363065624
102542025304148
118a0081017300
123507b316a504
1315593422b505
148b06b2453c8
15461cd307a9d
hex24fdc83e854

2542025304148 has 36 divisors (see below), whose sum is σ = 5177352963636. Its totient is φ = 1087497452800.

The previous prime is 2542025304053. The next prime is 2542025304149. The reversal of 2542025304148 is 8414035202452.

2542025304148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1939396034884 + 602629269264 = 1392622^2 + 776292^2 .

It is a super-3 number, since 3×25420253041483 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2542025304148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542025304149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154465843 + ... + 154482298.

It is an arithmetic number, because the mean of its divisors is an integer number (143815360101).

Almost surely, 22542025304148 is an apocalyptic number.

It is an amenable number.

2542025304148 is an abundant number, since it is smaller than the sum of its proper divisors (2635327659488).

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

2542025304148 is a wasteful number, since it uses less digits than its factorization.

2542025304148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308948184 (or 308948171 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

The spelling of 2542025304148 in words is "two trillion, five hundred forty-two billion, twenty-five million, three hundred four thousand, one hundred forty-eight".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 374 484 748 2057 4114 8228 308948141 617896282 1235792564 3398429551 5252118397 6796859102 10504236794 13593718204 21008473588 37382725061 57773302367 74765450122 115546604734 149530900244 231093209468 635506326037 1271012652074 2542025304148