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10031140240 = 2451173156151
BaseRepresentation
bin10010101011110011…
…10000110110010000
3221220002100201111121
421111321300312100
5131020432441430
64335214052024
7503403166552
oct112571606620
927802321447
1010031140240
114288354150
121b3b4aa014
13c3b2a1454
146b234b4d2
153da9aea7a
hex255e70d90

10031140240 has 80 divisors (see below), whose sum is σ = 25791313536. Its totient is φ = 3597696000.

The previous prime is 10031140219. The next prime is 10031140247. The reversal of 10031140240 is 4204113001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10031140247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13836 + ... + 142315.

Almost surely, 210031140240 is an apocalyptic number.

10031140240 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 10031140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12895656768).

10031140240 is an abundant number, since it is smaller than the sum of its proper divisors (15760173296).

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

10031140240 is a wasteful number, since it uses less digits than its factorization.

10031140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156248 (or 156242 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10031140240 its reverse (4204113001), we get a palindrome (14235253241).

The spelling of 10031140240 in words is "ten billion, thirty-one million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 73 80 88 110 146 176 220 292 365 440 584 730 803 880 1168 1460 1606 2920 3212 4015 5840 6424 8030 12848 16060 32120 64240 156151 312302 624604 780755 1249208 1561510 1717661 2498416 3123020 3435322 6246040 6870644 8588305 11399023 12492080 13741288 17176610 22798046 27482576 34353220 45596092 56995115 68706440 91192184 113990230 125389253 137412880 182384368 227980460 250778506 455960920 501557012 626946265 911921840 1003114024 1253892530 2006228048 2507785060 5015570120 10031140240