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14400404210040 = 2335671919377461
BaseRepresentation
bin1101000110001101101011…
…1110100100000101111000
31212222122221221002022200120
43101203122332210011320
53341414011434210130
650343242050533240
73014252304106362
oct321433276440570
955878857068616
1014400404210040
1146521a4838a72
121746a8a297220
13805c4c248c14
1437adaa1add32
1519e8c303c910
hexd18dafa4178

14400404210040 has 128 divisors (see below), whose sum is σ = 44075571793920. Its totient is φ = 3762987148800.

The previous prime is 14400404210011. The next prime is 14400404210063. The reversal of 14400404210040 is 4001240400441.

It is a happy number.

14400404210040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 3153091 + ... + 6224370.

It is an arithmetic number, because the mean of its divisors is an integer number (344340404640).

Almost surely, 214400404210040 is an apocalyptic number.

14400404210040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14400404210040 is an abundant number, since it is smaller than the sum of its proper divisors (29675167583880).

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

14400404210040 is a wasteful number, since it uses less digits than its factorization.

14400404210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9377733 (or 9377729 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14400404210040 its reverse (4001240400441), we get a palindrome (18401644610481).

The spelling of 14400404210040 in words is "fourteen trillion, four hundred billion, four hundred four million, two hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 191 201 268 335 382 402 536 573 670 764 804 955 1005 1146 1340 1528 1608 1910 2010 2292 2680 2865 3820 4020 4584 5730 7640 8040 11460 12797 22920 25594 38391 51188 63985 76782 102376 127970 153564 191955 255940 307128 383910 511880 767820 1535640 9377461 18754922 28132383 37509844 46887305 56264766 75019688 93774610 112529532 140661915 187549220 225059064 281323830 375098440 562647660 628289887 1125295320 1256579774 1791095051 1884869661 2513159548 3141449435 3582190102 3769739322 5026319096 5373285153 6282898870 7164380204 7539478644 8955475255 9424348305 10746570306 12565797740 14328760408 15078957288 17910950510 18848696610 21493140612 25131595480 26866425765 35821901020 37697393220 42986281224 53732851530 71643802040 75394786440 107465703060 120003368417 214931406120 240006736834 360010105251 480013473668 600016842085 720020210502 960026947336 1200033684170 1440040421004 1800050526255 2400067368340 2880080842008 3600101052510 4800134736680 7200202105020 14400404210040