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2300379241400 = 235227741523091
BaseRepresentation
bin100001011110011001010…
…010011001101110111000
322010220200101101100002222
4201132121102121232320
5300142134041211100
64520440222343212
7325124353633442
oct41363122315670
98126611340088
102300379241400
11807649124829
123119b442ab08
13138c03b16a76
147d4a6111492
153ec88aee485
hex21799499bb8

2300379241400 has 48 divisors (see below), whose sum is σ = 5367690102840. Its totient is φ = 916829827200.

The previous prime is 2300379241351. The next prime is 2300379241427. The reversal of 2300379241400 is 41429730032.

2300379241400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 20706146 + ... + 20816945.

Almost surely, 22300379241400 is an apocalyptic number.

2300379241400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300379241400 is an abundant number, since it is smaller than the sum of its proper divisors (3067310861440).

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

2300379241400 is a wasteful number, since it uses less digits than its factorization.

2300379241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41523384 (or 41523375 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 2300379241400 in words is "two trillion, three hundred billion, three hundred seventy-nine million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 277 554 1108 1385 2216 2770 5540 6925 11080 13850 27700 55400 41523091 83046182 166092364 207615455 332184728 415230910 830461820 1038077275 1660923640 2076154550 4152309100 8304618200 11501896207 23003792414 46007584828 57509481035 92015169656 115018962070 230037924140 287547405175 460075848280 575094810350 1150189620700 2300379241400