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1421144560 = 2451110315679
BaseRepresentation
bin101010010110100…
…1111000111110000
310200001010121211201
41110231033013300
510402303111220
6353004020544
750134346413
oct12455170760
93601117751
101421144560
1166a220a40
12337b31754
13198572b54
14d6a57b7a
1584b6ed0a
hex54b4f1f0

1421144560 has 80 divisors (see below), whose sum is σ = 3639767040. Its totient is φ = 511729920.

The previous prime is 1421144551. The next prime is 1421144561. The reversal of 1421144560 is 654411241.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1421144561) 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, 82801 + ... + 98479.

It is an arithmetic number, because the mean of its divisors is an integer number (45497088).

Almost surely, 21421144560 is an apocalyptic number.

1421144560 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 1421144560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819883520).

1421144560 is an abundant number, since it is smaller than the sum of its proper divisors (2218622480).

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

1421144560 is a wasteful number, since it uses less digits than its factorization.

1421144560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15806 (or 15800 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 1421144560 is about 37698.0710381844. The cubic root of 1421144560 is about 1124.2927729461.

The spelling of 1421144560 in words is "one billion, four hundred twenty-one million, one hundred forty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 103 110 176 206 220 412 440 515 824 880 1030 1133 1648 2060 2266 4120 4532 5665 8240 9064 11330 15679 18128 22660 31358 45320 62716 78395 90640 125432 156790 172469 250864 313580 344938 627160 689876 862345 1254320 1379752 1614937 1724690 2759504 3229874 3449380 6459748 6898760 8074685 12919496 13797520 16149370 17764307 25838992 32298740 35528614 64597480 71057228 88821535 129194960 142114456 177643070 284228912 355286140 710572280 1421144560