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4273132243400 = 2352173234138861
BaseRepresentation
bin111110001011101010100…
…001111000100111001000
3120010111200221012021110222
4332023222201320213020
51030002333323242100
613031014433525212
7620503125525536
oct76135241704710
916114627167428
104273132243400
1113a8252829749
125901b3413808
1324cc544693c7
1410ab6c025156
1576249a07485
hex3e2ea8789c8

4273132243400 has 96 divisors (see below), whose sum is σ = 10520042109480. Its totient is φ = 1608617472000.

The previous prime is 4273132243397. The next prime is 4273132243409. The reversal of 4273132243400 is 43422313724.

4273132243400 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 12 ways, for example, as 593648676196 + 3679483567204 = 770486^2 + 1918198^2 .

It is not an unprimeable number, because it can be changed into a prime (4273132243409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109939970 + ... + 109978830.

Almost surely, 24273132243400 is an apocalyptic number.

4273132243400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4273132243400 is an abundant number, since it is smaller than the sum of its proper divisors (6246909866080).

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

4273132243400 is a wasteful number, since it uses less digits than its factorization.

4273132243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71235 (or 71226 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 35.

The spelling of 4273132243400 in words is "four trillion, two hundred seventy-three billion, one hundred thirty-two million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 32341 38861 64682 77722 129364 155444 161705 194305 258728 310888 323410 388610 549797 646820 660637 777220 808525 971525 1099594 1293640 1321274 1554440 1617050 1943050 2199188 2642548 2748985 3234100 3303185 3886100 4398376 5285096 5497970 6468200 6606370 7772200 10995940 13212740 13744925 16515925 21991880 26425480 27489850 33031850 54979700 66063700 109959400 132127400 1256803601 2513607202 5027214404 6284018005 10054428808 12568036010 21365661217 25136072020 31420090025 42731322434 50272144040 62840180050 85462644868 106828306085 125680360100 170925289736 213656612170 251360720200 427313224340 534141530425 854626448680 1068283060850 2136566121700 4273132243400