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32129942144 = 273074012039
BaseRepresentation
bin11101111011000110…
…000000001010000000
310001221012011011201012
4131323012000022000
51011300231122034
622432120100052
72215132000466
oct357306001200
9101835134635
1032129942144
11126985730a3
126288304628
1330507377b1
1417ab28a836
15c80b07cce
hex77b180280

32129942144 has 64 divisors (see below), whose sum is σ = 64409083200. Its totient is φ = 15964876800.

The previous prime is 32129942113. The next prime is 32129942179. The reversal of 32129942144 is 44124992123.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15756677 + ... + 15758715.

It is an arithmetic number, because the mean of its divisors is an integer number (1006391925).

Almost surely, 232129942144 is an apocalyptic number.

It is an amenable number.

32129942144 is an abundant number, since it is smaller than the sum of its proper divisors (32279141056).

32129942144 is a wasteful number, since it uses less digits than its factorization.

32129942144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2749 counting only the distinct ones).

The product of its digits is 124416, while the sum is 41.

The spelling of 32129942144 in words is "thirty-two billion, one hundred twenty-nine million, nine hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 307 401 614 802 1228 1604 2039 2456 3208 4078 4912 6416 8156 9824 12832 16312 19648 25664 32624 39296 51328 65248 123107 130496 246214 260992 492428 625973 817639 984856 1251946 1635278 1969712 2503892 3270556 3939424 5007784 6541112 7878848 10015568 13082224 15757696 20031136 26164448 40062272 52328896 80124544 104657792 251015173 502030346 1004060692 2008121384 4016242768 8032485536 16064971072 32129942144