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421131403440 = 243251153173157
BaseRepresentation
bin1100010000011010110…
…00110100000010110000
31111021000101000212222200
412020031120310002300
523344434114402230
6521244243303200
742266012603136
oct6101530640260
91437011025880
10421131403440
11152667775590
126975007ab00
1330935540667
141655083d756
15ae4bb50160
hex620d6340b0

421131403440 has 120 divisors (see below), whose sum is σ = 1542872352528. Its totient is φ = 102092459520.

The previous prime is 421131403417. The next prime is 421131403489. The reversal of 421131403440 is 44304131124.

421131403440 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 314 + 0 + 344 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26578659 + ... + 26594498.

Almost surely, 2421131403440 is an apocalyptic number.

421131403440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421131403440 is an abundant number, since it is smaller than the sum of its proper divisors (1121740949088).

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

421131403440 is a wasteful number, since it uses less digits than its factorization.

421131403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53173187 (or 53173178 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 421131403440 its reverse (44304131124), we get a palindrome (465435534564).

The spelling of 421131403440 in words is "four hundred twenty-one billion, one hundred thirty-one million, four hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 53173157 106346314 159519471 212692628 265865785 319038942 425385256 478558413 531731570 584904727 638077884 797597355 850770512 957116826 1063463140 1169809454 1276155768 1595194710 1754714181 1914233652 2126926280 2339618908 2392792065 2552311536 2924523635 3190389420 3509428362 3828467304 4253852560 4679237816 4785584130 5264142543 5849047270 6380778840 7018856724 7656934608 8773570905 9358475632 9571168260 10528285086 11698094540 12761557680 14037713448 17547141810 19142336520 21056570172 23396189080 26320712715 28075426896 35094283620 38284673040 42113140344 46792378160 52641425430 70188567240 84226280688 105282850860 140377134480 210565701720 421131403440