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1020411144 = 233219771941
BaseRepresentation
bin111100110100100…
…011110100001000
32122010002020221100
4330310203310020
54042211124034
6245130541400
734200231414
oct7464436410
92563066840
101020411144
11483aa4aa5
12245897860
1313353579c
1499741d44
155e8b4099
hex3cd23d08

1020411144 has 48 divisors (see below), whose sum is σ = 2777680620. Its totient is φ = 338405760.

The previous prime is 1020411143. The next prime is 1020411149. The reversal of 1020411144 is 4411140201.

It can be written as a sum of positive squares in 2 ways, for example, as 1000963044 + 19448100 = 31638^2 + 4410^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1020411143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21787 + ... + 50154.

Almost surely, 21020411144 is an apocalyptic number.

It is an amenable number.

1020411144 is an abundant number, since it is smaller than the sum of its proper divisors (1757269476).

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

1020411144 is a wasteful number, since it uses less digits than its factorization.

1020411144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72150 (or 72143 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1020411144 is about 31943.8749058407. The cubic root of 1020411144 is about 1006.7579420086.

Adding to 1020411144 its reverse (4411140201), we get a palindrome (5431551345).

It can be divided in two parts, 1020 and 411144, that added together give a square (412164 = 6422).

The spelling of 1020411144 in words is "one billion, twenty million, four hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 197 394 591 788 1182 1576 1773 2364 3546 4728 7092 14184 71941 143882 215823 287764 431646 575528 647469 863292 1294938 1726584 2589876 5179752 14172377 28344754 42517131 56689508 85034262 113379016 127551393 170068524 255102786 340137048 510205572 1020411144