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42003544440 = 233511132447759
BaseRepresentation
bin100111000111100110…
…110011100101111000
311000102022002010210010
4213013212303211320
51142010401410230
631143545421520
73014613144144
oct470746634570
9130368063703
1042003544440
11168a49a66a0
128182a9a8a0
133c6519b010
14206670a224
15115c8499b0
hex9c79b3978

42003544440 has 128 divisors (see below), whose sum is σ = 148040524800. Its totient is φ = 9399390720.

The previous prime is 42003544423. The next prime is 42003544469. The reversal of 42003544440 is 4444530024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42003544398 and 42003544407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1206720 + ... + 1241039.

It is an arithmetic number, because the mean of its divisors is an integer number (1156566600).

Almost surely, 242003544440 is an apocalyptic number.

42003544440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42003544440 is an abundant number, since it is smaller than the sum of its proper divisors (106036980360).

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

42003544440 is a wasteful number, since it uses less digits than its factorization.

42003544440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447797 (or 2447793 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The spelling of 42003544440 in words is "forty-two billion, three million, five hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 8580 17160 2447759 4895518 7343277 9791036 12238795 14686554 19582072 24477590 26925349 29373108 31820867 36716385 48955180 53850698 58746216 63641734 73432770 80776047 95462601 97910360 107701396 127283468 134626745 146865540 159104335 161552094 190925202 215402792 254566936 269253490 293731080 318208670 323104188 350029537 381850404 403880235 477313005 538506980 636417340 646208376 700059074 763700808 807760470 954626010 1050088611 1077013960 1272834680 1400118148 1615520940 1750147685 1909252020 2100177222 2800236296 3231041880 3500295370 3818504040 4200354444 5250443055 7000590740 8400708888 10500886110 14001181480 21001772220 42003544440