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140029010370 = 232517719127291
BaseRepresentation
bin1000001001101001100…
…0010010000111000010
3111101102212021202111100
42002122120102013002
54243234411312440
6144154535355230
713055022643434
oct2023230220702
9441385252440
10140029010370
11544277a9057
122317b522b16
13102878ab6b2
146ac5420654
153998552230
hex209a6121c2

140029010370 has 96 divisors (see below), whose sum is σ = 386030810880. Its totient is φ = 35095380480.

The previous prime is 140029010357. The next prime is 140029010371. The reversal of 140029010370 is 73010920041.

140029010370 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 290 + 1 + 0 + 370 = 666.

It is not an unprimeable number, because it can be changed into a prime (140029010371) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1036425 + ... + 1163715.

It is an arithmetic number, because the mean of its divisors is an integer number (4021154280).

Almost surely, 2140029010370 is an apocalyptic number.

140029010370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140029010370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193015405440).

140029010370 is an abundant number, since it is smaller than the sum of its proper divisors (246001800510).

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

140029010370 is a wasteful number, since it uses less digits than its factorization.

140029010370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128040 (or 128037 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 140029010370 in words is "one hundred forty billion, twenty-nine million, ten thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 719 765 1438 1530 2157 3595 4314 6471 7190 10785 12223 12942 21570 24446 32355 36669 61115 64710 73338 110007 122230 127291 183345 220014 254582 366690 381873 550035 636455 763746 1100070 1145619 1272910 1909365 2163947 2291238 3818730 4327894 5728095 6491841 10819735 11456190 12983682 19475523 21639470 32459205 38951046 64918410 91522229 97377615 183044458 194755230 274566687 457611145 549133374 823700061 915222290 1372833435 1555877893 1647400122 2745666870 3111755786 4118500305 4667633679 7779389465 8237000610 9335267358 14002901037 15558778930 23338168395 28005802074 46676336790 70014505185 140029010370