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20444040551040 = 273529093660343
BaseRepresentation
bin1001010010111111111111…
…10001100101101010000000
32200101102122100002200011120
410221133333301211222000
510134423343340113130
6111251510152112240
74210014245311611
oct451377761455200
980342570080146
1020444040551040
1165722a5a09257
122362237995680
13b53b31b23622
145096d5499c08
15256be2d4b910
hex1297ffc65a80

20444040551040 has 128 divisors (see below), whose sum is σ = 65187798364800. Its totient is φ = 5449868562432.

The previous prime is 20444040551029. The next prime is 20444040551041. The reversal of 20444040551040 is 4015504044402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 20444040550992 and 20444040551010.

It is not an unprimeable number, because it can be changed into a prime (20444040551041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3755109 + ... + 7415451.

It is an arithmetic number, because the mean of its divisors is an integer number (509279674725).

Almost surely, 220444040551040 is an apocalyptic number.

20444040551040 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 20444040551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32593899182400).

20444040551040 is an abundant number, since it is smaller than the sum of its proper divisors (44743757813760).

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

20444040551040 is a wasteful number, since it uses less digits than its factorization.

20444040551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663274 (or 3663262 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 33.

Adding to 20444040551040 its reverse (4015504044402), we get a palindrome (24459544595442).

The spelling of 20444040551040 in words is "twenty trillion, four hundred forty-four billion, forty million, five hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2909 5818 8727 11636 14545 17454 23272 29090 34908 43635 46544 58180 69816 87270 93088 116360 139632 174540 186176 232720 279264 349080 372352 465440 558528 698160 930880 1117056 1396320 1861760 2792640 3660343 5585280 7320686 10981029 14641372 18301715 21962058 29282744 36603430 43924116 54905145 58565488 73206860 87848232 109810290 117130976 146413720 175696464 219620580 234261952 292827440 351392928 439241160 468523904 585654880 702785856 878482320 1171309760 1405571712 1756964640 2342619520 3513929280 7027858560 10647937787 21295875574 31943813361 42591751148 53239688935 63887626722 85183502296 106479377870 127775253444 159719066805 170367004592 212958755740 255550506888 319438133610 340734009184 425917511480 511101013776 638876267220 681468018368 851835022960 1022202027552 1277752534440 1362936036736 1703670045920 2044404055104 2555505068880 3407340091840 4088808110208 5111010137760 6814680183680 10222020275520 20444040551040