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140315664 = 243101103281
BaseRepresentation
bin10000101110100…
…00110000010000
3100210000202220110
420113100300100
5241410100124
621531241320
73322443366
oct1027206020
9323022813
10140315664
1172228265
123aba9240
13230bac28
14148c7636
15c4ba029
hex85d0c10

140315664 has 80 divisors (see below), whose sum is σ = 370940544. Its totient is φ = 45696000.

The previous prime is 140315639. The next prime is 140315683. The reversal of 140315664 is 466513041.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499204 + ... + 499484.

Almost surely, 2140315664 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 140315664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185470272).

140315664 is an abundant number, since it is smaller than the sum of its proper divisors (230624880).

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

140315664 is a wasteful number, since it uses less digits than its factorization.

140315664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 140315664 is about 11845.4912941591. The cubic root of 140315664 is about 519.6393752077.

The spelling of 140315664 in words is "one hundred forty million, three hundred fifteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 103 202 206 281 303 309 404 412 562 606 618 808 824 843 1124 1212 1236 1616 1648 1686 2248 2424 2472 3372 4496 4848 4944 6744 10403 13488 20806 28381 28943 31209 41612 56762 57886 62418 83224 85143 86829 113524 115772 124836 166448 170286 173658 227048 231544 249672 340572 347316 454096 463088 499344 681144 694632 1362288 1389264 2923243 5846486 8769729 11692972 17539458 23385944 35078916 46771888 70157832 140315664