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20400044044240 = 2457269135422491
BaseRepresentation
bin1001010001101110000010…
…11000001110111111010000
32200020020002010220112222201
410220313001120032333100
510133213242233403430
6111215352330212544
74203566052213520
oct450670130167720
980206063815881
1020400044044240
116555679042533
1223557b9584154
13b4c93caa3653
14507520207680
152559ba57e8ca
hex128dc160efd0

20400044044240 has 80 divisors (see below), whose sum is σ = 54407340385920. Its totient is φ = 6968299645440.

The previous prime is 20400044044181. The next prime is 20400044044249. The reversal of 20400044044240 is 4244044000402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 20400044044199 and 20400044044208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20400044044249) 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, 67560606 + ... + 67861885.

It is an arithmetic number, because the mean of its divisors is an integer number (680091754824).

Almost surely, 220400044044240 is an apocalyptic number.

20400044044240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20400044044240 is an abundant number, since it is smaller than the sum of its proper divisors (34007296341680).

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

20400044044240 is a wasteful number, since it uses less digits than its factorization.

20400044044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135422780 (or 135422774 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 20400044044240 its reverse (4244044000402), we get a palindrome (24644088044642).

The spelling of 20400044044240 in words is "twenty trillion, four hundred billion, forty-four million, forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 269 280 538 560 1076 1345 1883 2152 2690 3766 4304 5380 7532 9415 10760 15064 18830 21520 30128 37660 75320 150640 135422491 270844982 541689964 677112455 947957437 1083379928 1354224910 1895914874 2166759856 2708449820 3791829748 4739787185 5416899640 7583659496 9479574370 10833799280 15167318992 18959148740 36428650079 37918297480 72857300158 75836594960 145714600316 182143250395 255000550553 291429200632 364286500790 510001101106 582858401264 728573001580 1020002202212 1275002752765 1457146003160 2040004404424 2550005505530 2914292006320 4080008808848 5100011011060 10200022022120 20400044044240