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140481968 = 24112149487
BaseRepresentation
bin10000101111110…
…01010110110000
3100210100020000212
420113321112300
5241430410333
621535003252
73324035264
oct1027712660
9323306025
10140481968
1172331200
123b069528
1323148833
141492c0a4
15c4ee448
hex85f95b0

140481968 has 60 divisors (see below), whose sum is σ = 301803600. Its totient is φ = 63296640.

The previous prime is 140481967. The next prime is 140481983. The reversal of 140481968 is 869184041.

140481968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (140481967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288221 + ... + 288707.

It is an arithmetic number, because the mean of its divisors is an integer number (5030060).

Almost surely, 2140481968 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 140481968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150901800).

140481968 is an abundant number, since it is smaller than the sum of its proper divisors (161321632).

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

140481968 is a wasteful number, since it uses less digits than its factorization.

140481968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 140481968 is about 11852.5089327113. The cubic root of 140481968 is about 519.8445886656.

The spelling of 140481968 in words is "one hundred forty million, four hundred eighty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 149 176 242 298 484 487 596 968 974 1192 1639 1936 1948 2384 3278 3896 5357 6556 7792 10714 13112 18029 21428 26224 36058 42856 58927 72116 72563 85712 117854 144232 145126 235708 288464 290252 471416 580504 798193 942832 1161008 1596386 3192772 6385544 8780123 12771088 17560246 35120492 70240984 140481968