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1441893096 = 233377331301
BaseRepresentation
bin101010111110001…
…1000101011101000
310201111011202111000
41111330120223220
510423111034341
6355024435000
750505613650
oct12574305350
93644152430
101441893096
1167aa02696
12342a78a60
1319c958ba7
14d96d9360
15868bc8b6
hex55f18ae8

1441893096 has 128 divisors (see below), whose sum is σ = 4587206400. Its totient is φ = 411091200.

The previous prime is 1441893091. The next prime is 1441893113. The reversal of 1441893096 is 6903981441.

It is not an unprimeable number, because it can be changed into a prime (1441893091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1107646 + ... + 1108946.

It is an arithmetic number, because the mean of its divisors is an integer number (35837550).

Almost surely, 21441893096 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 1441893096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293603200).

1441893096 is an abundant number, since it is smaller than the sum of its proper divisors (3145313304).

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

1441893096 is a wasteful number, since it uses less digits than its factorization.

1441893096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1441893096 is about 37972.2674592919. The cubic root of 1441893096 is about 1129.7378711687.

The spelling of 1441893096 in words is "one billion, four hundred forty-one million, eight hundred ninety-three thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 733 756 1301 1466 1512 2199 2602 2932 3903 4398 5131 5204 5864 6597 7806 8796 9107 10262 10408 11709 13194 15393 15612 17592 18214 19791 20524 23418 26388 27321 30786 31224 35127 36428 39582 41048 46179 46836 52776 54642 61572 70254 72856 79164 81963 92358 93672 109284 123144 138537 140508 158328 163926 184716 218568 245889 277074 281016 327852 369432 491778 554148 655704 953633 983556 1108296 1907266 1967112 2860899 3814532 5721798 6675431 7629064 8582697 11443596 13350862 17165394 20026293 22887192 25748091 26701724 34330788 40052586 51496182 53403448 60078879 68661576 80105172 102992364 120157758 160210344 180236637 205984728 240315516 360473274 480631032 720946548 1441893096