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38421883440 = 243455929303
BaseRepresentation
bin100011110010000111…
…110110101000110000
310200011200112220120000
4203302013312220300
51112142000232230
625352322150000
72530062422613
oct436207665060
9120150486500
1038421883440
1115327173786
1275434b2300
13381413c295
141c06b7217a
15eed1abb60
hex8f21f6a30

38421883440 has 100 divisors (see below), whose sum is σ = 133444915824. Its totient is φ = 10245833856.

The previous prime is 38421883421. The next prime is 38421883453. The reversal of 38421883440 is 4438812483.

It is a happy number.

It is a super-2 number, since 2×384218834402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2958172 + ... + 2971131.

Almost surely, 238421883440 is an apocalyptic number.

38421883440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38421883440 is an abundant number, since it is smaller than the sum of its proper divisors (95023032384).

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

38421883440 is a wasteful number, since it uses less digits than its factorization.

38421883440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5929328 (or 5929313 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 38421883440 in words is "thirty-eight billion, four hundred twenty-one million, eight hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 5929303 11858606 17787909 23717212 29646515 35575818 47434424 53363727 59293030 71151636 88939545 94868848 106727454 118586060 142303272 160091181 177879090 213454908 237172120 266818635 284606544 320182362 355758180 426909816 474344240 480273543 533637270 640364724 711516360 800455905 853819632 960547086 1067274540 1280729448 1423032720 1600911810 1921094172 2134549080 2401367715 2561458896 3201823620 3842188344 4269098160 4802735430 6403647240 7684376688 9605470860 12807294480 19210941720 38421883440