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23044144300 = 225217194117401
BaseRepresentation
bin10101011101100010…
…011011110010101100
32012110222121211011221
4111131202123302230
5334143300104200
614330351553124
71444024665112
oct253542336254
965428554157
1023044144300
119855900761
12457152b7a4
132233277158
1411886ddab2
158ed12e91a
hex55d89bcac

23044144300 has 144 divisors (see below), whose sum is σ = 57096658080. Its totient is φ = 8017920000.

The previous prime is 23044144289. The next prime is 23044144301. The reversal of 23044144300 is 344144032.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (23044144301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1315600 + ... + 1333000.

It is an arithmetic number, because the mean of its divisors is an integer number (396504570).

Almost surely, 223044144300 is an apocalyptic number.

23044144300 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 23044144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28548329040).

23044144300 is an abundant number, since it is smaller than the sum of its proper divisors (34052513780).

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

23044144300 is a wasteful number, since it uses less digits than its factorization.

23044144300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17492 (or 17485 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 23044144300 its reverse (344144032), we get a palindrome (23388288332).

The spelling of 23044144300 in words is "twenty-three billion, forty-four million, one hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 41 50 68 76 82 85 95 100 164 170 190 205 323 340 380 410 425 475 646 697 779 820 850 950 1025 1292 1394 1558 1615 1700 1900 2050 2788 3116 3230 3485 3895 4100 6460 6970 7790 8075 13243 13940 15580 16150 17401 17425 19475 26486 32300 34802 34850 38950 52972 66215 69604 69700 77900 87005 132430 174010 264860 295817 330619 331075 348020 435025 591634 661238 662150 713441 870050 1183268 1322476 1324300 1426882 1479085 1653095 1740100 2853764 2958170 3306190 3567205 5620523 5916340 6612380 7134410 7395425 8265475 11241046 12128497 13555379 14268820 14790850 16530950 17836025 22482092 24256994 27110758 28102615 29581700 33061900 35672050 48513988 54221516 56205230 60642485 67776895 71344100 112410460 121284970 135553790 140513075 230441443 242569940 271107580 281026150 303212425 338884475 460882886 562052300 606424850 677768950 921765772 1152207215 1212849700 1355537900 2304414430 4608828860 5761036075 11522072150 23044144300