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120434552128 = 2611677252691
BaseRepresentation
bin111000000101001110…
…1010110110101000000
3102111212021212010221201
41300022131112311000
53433122221132003
6131154334230544
711462323542142
oct1601235266500
9374767763851
10120434552128
114709218a610
121b411355454
13b4842358c7
145b86d42c92
1531ed1e1b1d
hex1c0a756d40

120434552128 has 56 divisors (see below), whose sum is σ = 261099568224. Its totient is φ = 54661900800.

The previous prime is 120434552093. The next prime is 120434552131. The reversal of 120434552128 is 821255434021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350263 + ... + 602953.

Almost surely, 2120434552128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120434552128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130549784112).

120434552128 is an abundant number, since it is smaller than the sum of its proper divisors (140665016096).

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

120434552128 is a wasteful number, since it uses less digits than its factorization.

120434552128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253391 (or 253381 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

Adding to 120434552128 its reverse (821255434021), we get a palindrome (941689986149).

The spelling of 120434552128 in words is "one hundred twenty billion, four hundred thirty-four million, five hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 677 704 1354 2708 5416 7447 10832 14894 21664 29788 43328 59576 119152 238304 252691 476608 505382 1010764 2021528 2779601 4043056 5559202 8086112 11118404 16172224 22236808 44473616 88947232 171071807 177894464 342143614 684287228 1368574456 1881789877 2737148912 3763579754 5474297824 7527159508 10948595648 15054319016 30108638032 60217276064 120434552128