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20341420440 = 23351137416491
BaseRepresentation
bin10010111100011100…
…010111000110011000
31221111121222020001020
4102330130113012120
5313124400423230
613202243122440
71320036135525
oct227434270630
957447866036
1020341420440
118699224280
123b38373420
131bc2348973
14dad79c14c
157e0c0c810
hex4bc717198

20341420440 has 128 divisors (see below), whose sum is σ = 68371326720. Its totient is φ = 4797964800.

The previous prime is 20341420433. The next prime is 20341420441. The reversal of 20341420440 is 4402414302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20341420440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20341420441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 159406 + ... + 257085.

It is an arithmetic number, because the mean of its divisors is an integer number (534150990).

Almost surely, 220341420440 is an apocalyptic number.

20341420440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20341420440 is an abundant number, since it is smaller than the sum of its proper divisors (48029906280).

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

20341420440 is a wasteful number, since it uses less digits than its factorization.

20341420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416553 (or 416549 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20341420440 its reverse (4402414302), we get a palindrome (24743834742).

The spelling of 20341420440 in words is "twenty billion, three hundred forty-one million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 264 296 330 370 407 440 444 555 660 740 814 888 1110 1221 1320 1480 1628 2035 2220 2442 3256 4070 4440 4884 6105 8140 9768 12210 16280 24420 48840 416491 832982 1249473 1665964 2082455 2498946 3331928 4164910 4581401 4997892 6247365 8329820 9162802 9995784 12494730 13744203 15410167 16659640 18325604 22907005 24989460 27488406 30820334 36651208 45814010 46230501 49978920 54976812 61640668 68721015 77050835 91628020 92461002 109953624 123281336 137442030 154101670 169511837 183256040 184922004 231152505 274884060 308203340 339023674 369844008 462305010 508535511 549768120 616406680 678047348 847559185 924610020 1017071022 1356094696 1695118370 1849220040 2034142044 2542677555 3390236740 4068284088 5085355110 6780473480 10170710220 20341420440