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144739872 = 2534192939
BaseRepresentation
bin10001010000010…
…00111000100000
3101002100112210000
420220020320200
5244023133442
622210140000
73405161064
oct1050107040
9332315700
10144739872
117477a232
1240581600
1323ca98c4
1415319aa4
15ca90d4c
hex8a08e20

144739872 has 120 divisors (see below), whose sum is σ = 448232400. Its totient is φ = 45691776.

The previous prime is 144739843. The next prime is 144739877. The reversal of 144739872 is 278937441.

It is not an unprimeable number, because it can be changed into a prime (144739877) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47779 + ... + 50717.

It is an arithmetic number, because the mean of its divisors is an integer number (3735270).

Almost surely, 2144739872 is an apocalyptic number.

144739872 is a gapful number since it is divisible by the number (12) 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 144739872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224116200).

144739872 is an abundant number, since it is smaller than the sum of its proper divisors (303492528).

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

144739872 is a wasteful number, since it uses less digits than its factorization.

144739872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2963 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 144739872 is about 12030.7885028372. The cubic root of 144739872 is about 525.0444370550.

The spelling of 144739872 in words is "one hundred forty-four million, seven hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 432 456 513 608 648 684 864 912 1026 1296 1368 1539 1824 2052 2592 2736 2939 3078 4104 5472 5878 6156 8208 8817 11756 12312 16416 17634 23512 24624 26451 35268 47024 49248 52902 55841 70536 79353 94048 105804 111682 141072 158706 167523 211608 223364 238059 282144 317412 335046 423216 446728 476118 502569 634824 670092 846432 893456 952236 1005138 1269648 1340184 1507707 1786912 1904472 2010276 2539296 2680368 3015414 3808944 4020552 4523121 5360736 6030828 7617888 8041104 9046242 12061656 16082208 18092484 24123312 36184968 48246624 72369936 144739872