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140251135440 = 243513173325939
BaseRepresentation
bin1000001010011110011…
…1100111110111010000
3111102000100020212210210
42002213213213313100
54244213242313230
6144232552324120
713063360660413
oct2024747476720
9442010225723
10140251135440
1154531122999
12232219a3640
13102c1911450
146b06b21b7a
1539acccbeb0
hex20a79e7dd0

140251135440 has 160 divisors (see below), whose sum is σ = 468511263360. Its totient is φ = 34502105088.

The previous prime is 140251135351. The next prime is 140251135499. The reversal of 140251135440 is 44531152041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 140251135398 and 140251135407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5393991 + ... + 5419929.

It is an arithmetic number, because the mean of its divisors is an integer number (2928195396).

Almost surely, 2140251135440 is an apocalyptic number.

140251135440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140251135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234255631680).

140251135440 is an abundant number, since it is smaller than the sum of its proper divisors (328260127920).

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

140251135440 is a wasteful number, since it uses less digits than its factorization.

140251135440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27701 (or 27695 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 140251135440 its reverse (44531152041), we get a palindrome (184782287481).

The spelling of 140251135440 in words is "one hundred forty billion, two hundred fifty-one million, one hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 1733 3120 3466 5199 6932 8665 10398 13864 17330 20796 22529 25939 25995 27728 34660 41592 45058 51878 51990 67587 69320 77817 83184 90116 103756 103980 112645 129695 135174 138640 155634 180232 207512 207960 225290 259390 270348 311268 337207 337935 360464 389085 415024 415920 450580 518780 540696 622536 674414 675870 778170 901160 1011621 1037560 1081392 1245072 1348828 1351740 1556340 1686035 1802320 2023242 2075120 2697656 2703480 3112680 3372070 4046484 5058105 5395312 5406960 6225360 6744140 8092968 10116210 13488280 16185936 20232420 26976560 40464840 44952287 80929680 89904574 134856861 179809148 224761435 269713722 359618296 449522870 539427444 584379731 674284305 719236592 899045740 1078854888 1168759462 1348568610 1753139193 1798091480 2157709776 2337518924 2697137220 2921898655 3506278386 3596182960 4675037848 5394274440 5843797310 7012556772 8765695965 9350075696 10788548880 11687594620 14025113544 17531391930 23375189240 28050227088 35062783860 46750378480 70125567720 140251135440