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44101013400 = 23325229844847
BaseRepresentation
bin101001000100101000…
…000000111110011000
311012211110211121021200
4221010220000332120
51210304324412100
632132033434200
73120602300043
oct510450007630
9135743747250
1044101013400
1117780966114
12866940b960
13420a8b0b02
1421c50d7c5a
151231a61e00
hexa44a00f98

44101013400 has 144 divisors (see below), whose sum is σ = 153213184800. Its totient is φ = 11354730240.

The previous prime is 44101013387. The next prime is 44101013417. The reversal of 44101013400 is 431010144.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 370224 + ... + 474623.

It is an arithmetic number, because the mean of its divisors is an integer number (1063980450).

Almost surely, 244101013400 is an apocalyptic number.

44101013400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44101013400 is an abundant number, since it is smaller than the sum of its proper divisors (109112171400).

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

44101013400 is a wasteful number, since it uses less digits than its factorization.

44101013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844898 (or 844886 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 44101013400 its reverse (431010144), we get a palindrome (44532023544).

The spelling of 44101013400 in words is "forty-four billion, one hundred one million, thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 29 30 36 40 45 50 58 60 72 75 87 90 100 116 120 145 150 174 180 200 225 232 261 290 300 348 360 435 450 522 580 600 696 725 870 900 1044 1160 1305 1450 1740 1800 2088 2175 2610 2900 3480 4350 5220 5800 6525 8700 10440 13050 17400 26100 52200 844847 1689694 2534541 3379388 4224235 5069082 6758776 7603623 8448470 10138164 12672705 15207246 16896940 20276328 21121175 24500563 25345410 30414492 33793880 38018115 42242350 49001126 50690820 60828984 63363525 73501689 76036230 84484700 98002252 101381640 122502815 126727050 147003378 152072460 168969400 190090575 196004504 220505067 245005630 253454100 294006756 304144920 367508445 380181150 441010134 490011260 506908200 588013512 612514075 735016890 760362300 882020268 980022520 1102525335 1225028150 1470033780 1520724600 1764040536 1837542225 2205050670 2450056300 2940067560 3675084450 4410101340 4900112600 5512626675 7350168900 8820202680 11025253350 14700337800 22050506700 44101013400