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1042340204400 = 243521178965167
BaseRepresentation
bin11110010101100000101…
…00010100111101110000
310200122110110222122220120
433022300110110331300
5114034203043020100
62114502224010240
7135210106360125
oct17126024247560
93618413878816
101042340204400
11372065965160
1214a019760980
13773a512bb21
143864174a74c
151c1a89120a0
hexf2b0514f70

1042340204400 has 120 divisors (see below), whose sum is σ = 3642505269504. Its totient is φ = 252688531200.

The previous prime is 1042340204363. The next prime is 1042340204417. The reversal of 1042340204400 is 44020432401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39469384 + ... + 39495783.

Almost surely, 21042340204400 is an apocalyptic number.

1042340204400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042340204400 is an abundant number, since it is smaller than the sum of its proper divisors (2600165065104).

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

1042340204400 is a wasteful number, since it uses less digits than its factorization.

1042340204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78965199 (or 78965188 counting only the distinct ones).

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

Adding to 1042340204400 its reverse (44020432401), we get a palindrome (1086360636801).

The spelling of 1042340204400 in words is "one trillion, forty-two billion, three hundred forty million, two hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 78965167 157930334 236895501 315860668 394825835 473791002 631721336 789651670 868616837 947582004 1184477505 1263442672 1579303340 1737233674 1895164008 1974129175 2368955010 2605850511 3158606680 3474467348 3790328016 3948258350 4343084185 4737910020 5211701022 5922387525 6317213360 6948934696 7896516700 8686168370 9475820040 10423402044 11844775050 13029252555 13897869392 15793033400 17372336740 18951640080 20846804088 21715420925 23689550100 26058505110 31586066800 34744673480 41693608176 43430841850 47379100200 52117010220 65146262775 69489346960 86861683700 94758200400 104234020440 130292525550 173723367400 208468040880 260585051100 347446734800 521170102200 1042340204400