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210144213244128 = 2532975482835217
BaseRepresentation
bin101111110010000000000011…
…001011101001100011100000
31000120001120221112112011112210
4233302000003023221203200
5210021000322042303003
62022534530244522120
762156263335223032
oct5762000313514340
91016046845464483
10210144213244128
1160a5a729a23149
121b69b4339b0340
13903468bb41447
1439c7069b63c52
1519464eea4c503
hexbf20032e98e0

210144213244128 has 48 divisors (see below), whose sum is σ = 570650234248080. Its totient is φ = 67632620353536.

The previous prime is 210144213244127. The next prime is 210144213244169. The reversal of 210144213244128 is 821442312441012.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210144213244123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37741414825 + ... + 37741420392.

It is an arithmetic number, because the mean of its divisors is an integer number (11888546546835).

Almost surely, 2210144213244128 is an apocalyptic number.

It is an amenable number.

210144213244128 is an abundant number, since it is smaller than the sum of its proper divisors (360506021003952).

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

210144213244128 is a wasteful number, since it uses less digits than its factorization.

210144213244128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75482835259 (or 75482835251 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 210144213244128 in words is "two hundred ten trillion, one hundred forty-four billion, two hundred thirteen million, two hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 75482835217 150965670434 226448505651 301931340868 452897011302 603862681736 905794022604 1207725363472 1811588045208 2189002221293 2415450726944 3623176090416 4378004442586 6567006663879 7246352180832 8756008885172 13134013327758 17512017770344 26268026655516 35024035540688 52536053311032 70048071081376 105072106622064 210144213244128