Search a number
-
+
1405544544 = 253243911117
BaseRepresentation
bin101001111000110…
…1110100001100000
310121221210001122100
41103301232201200
510334304411134
6351245410400
746554634335
oct12361564140
93557701570
101405544544
11661436468
12332869a00
13195270381
14d495698c
15835dc999
hex53c6e860

1405544544 has 72 divisors (see below), whose sum is σ = 4006482480. Its totient is φ = 467405568.

The previous prime is 1405544533. The next prime is 1405544561. The reversal of 1405544544 is 4454455041.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1405544499 and 1405544508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120874 + ... + 131990.

It is an arithmetic number, because the mean of its divisors is an integer number (55645590).

Almost surely, 21405544544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1405544544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003241240).

1405544544 is an abundant number, since it is smaller than the sum of its proper divisors (2600937936).

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

1405544544 is a wasteful number, since it uses less digits than its factorization.

1405544544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11572 (or 11561 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The square root of 1405544544 is about 37490.5927400461. The cubic root of 1405544544 is about 1120.1638110739.

Adding to 1405544544 its reverse (4454455041), we get a palindrome (5859999585).

The spelling of 1405544544 in words is "one billion, four hundred five million, five hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 439 878 1317 1756 2634 3512 3951 5268 7024 7902 10536 11117 14048 15804 21072 22234 31608 33351 42144 44468 63216 66702 88936 100053 126432 133404 177872 200106 266808 355744 400212 533616 800424 1067232 1600848 3201696 4880363 9760726 14641089 19521452 29282178 39042904 43923267 58564356 78085808 87846534 117128712 156171616 175693068 234257424 351386136 468514848 702772272 1405544544