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24134003000 = 2353296712421
BaseRepresentation
bin10110011110011111…
…111010100100111000
32022021221101101020222
4112132133322210320
5343411301044000
615030443235212
71513030432532
oct263637724470
968257341228
1024134003000
11a265019728
124816518b08
132377cb6b63
14124d35c852
15963b60a85
hex59e7fa938

24134003000 has 128 divisors (see below), whose sum is σ = 59297659200. Its totient is φ = 9180864000.

The previous prime is 24134002999. The next prime is 24134003009. The reversal of 24134003000 is 30043142.

It is a self number, because there is not a number n which added to its sum of digits gives 24134003000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24134003009) 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, 1936790 + ... + 1949210.

Almost surely, 224134003000 is an apocalyptic number.

24134003000 is a gapful number since it is divisible by the number (20) 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 24134003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29648829600).

24134003000 is an abundant number, since it is smaller than the sum of its proper divisors (35163656200).

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

24134003000 is a wasteful number, since it uses less digits than its factorization.

24134003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12538 (or 12524 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 24134003000 its reverse (30043142), we get a palindrome (24164046142).

The spelling of 24134003000 in words is "twenty-four billion, one hundred thirty-four million, three thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 67 100 116 125 134 145 200 232 250 268 290 335 500 536 580 670 725 1000 1160 1340 1450 1675 1943 2680 2900 3350 3625 3886 5800 6700 7250 7772 8375 9715 12421 13400 14500 15544 16750 19430 24842 29000 33500 38860 48575 49684 62105 67000 77720 97150 99368 124210 194300 242875 248420 310525 360209 388600 485750 496840 621050 720418 832207 971500 1242100 1440836 1552625 1664414 1801045 1943000 2484200 2881672 3105250 3328828 3602090 4161035 6210500 6657656 7204180 8322070 9005225 12421000 14408360 16644140 18010450 20805175 24134003 33288280 36020900 41610350 45026125 48268006 72041800 83220700 90052250 96536012 104025875 120670015 166441400 180104500 193072024 208051750 241340030 360209000 416103500 482680060 603350075 832207000 965360120 1206700150 2413400300 3016750375 4826800600 6033500750 12067001500 24134003000