Search a number
-
+
1440352024300 = 2252716271264687
BaseRepresentation
bin10100111101011011101…
…010111011011011101100
312002200210121110000112101
4110331123222323123230
5142044320104234200
63021404422344444
7206030160125530
oct24753352733354
95080717400471
101440352024300
11505939193402
121b3196b8b124
13a5a948a0b27
144d9db84dbc0
15277009d026a
hex14f5babb6ec

1440352024300 has 72 divisors (see below), whose sum is σ = 3574271343104. Its totient is φ = 493531064640.

The previous prime is 1440352024291. The next prime is 1440352024369. The reversal of 1440352024300 is 34202530441.

It is a happy number.

It is a super-2 number, since 2×14403520243002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506557 + ... + 1771243.

Almost surely, 21440352024300 is an apocalyptic number.

1440352024300 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 1440352024300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787135671552).

1440352024300 is an abundant number, since it is smaller than the sum of its proper divisors (2133919318804).

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

1440352024300 is a wasteful number, since it uses less digits than its factorization.

1440352024300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266335 (or 1266328 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 1440352024300 its reverse (34202530441), we get a palindrome (1474554554741).

The spelling of 1440352024300 in words is "one trillion, four hundred forty billion, three hundred fifty-two million, twenty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1627 3254 6508 8135 11389 16270 22778 32540 40675 45556 56945 81350 113890 162700 227780 284725 569450 1138900 1264687 2529374 5058748 6323435 8852809 12646870 17705618 25293740 31617175 35411236 44264045 63234350 88528090 126468700 177056180 221320225 442640450 885280900 2057645749 4115291498 8230582996 10288228745 14403520243 20576457490 28807040486 41152914980 51441143725 57614080972 72017601215 102882287450 144035202430 205764574900 288070404860 360088006075 720176012150 1440352024300