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140320423040 = 275731321523
BaseRepresentation
bin1000001010101110111…
…1111011110010000000
3111102012011122001112012
42002223233323302000
54244334012014130
6144243505352052
713065161626160
oct2025357736200
9442164561465
10140320423040
1154567247776
1223241038628
1310303090925
146b11dda5a0
1539b3e16995
hex20abbfbc80

140320423040 has 64 divisors (see below), whose sum is σ = 383375453760. Its totient is φ = 48109857792.

The previous prime is 140320423007. The next prime is 140320423051. The reversal of 140320423040 is 40324023041.

140320423040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×1403204230402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140320422997 and 140320423015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15656282 + ... + 15665241.

It is an arithmetic number, because the mean of its divisors is an integer number (5990241465).

Almost surely, 2140320423040 is an apocalyptic number.

140320423040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140320423040 is an abundant number, since it is smaller than the sum of its proper divisors (243055030720).

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

140320423040 is an equidigital number, since it uses as much as digits as its factorization.

140320423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31321549 (or 31321537 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 140320423040 its reverse (40324023041), we get a palindrome (180644446081).

The spelling of 140320423040 in words is "one hundred forty billion, three hundred twenty million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 31321523 62643046 125286092 156607615 219250661 250572184 313215230 438501322 501144368 626430460 877002644 1002288736 1096253305 1252860920 1754005288 2004577472 2192506610 2505721840 3508010576 4009154944 4385013220 5011443680 7016021152 8770026440 10022887360 14032042304 17540052880 20045774720 28064084608 35080105760 70160211520 140320423040