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4414121022330 = 2335191473158411
BaseRepresentation
bin100000000111011111000…
…0111011001001101111010
3120121222121200110022221000
41000032332013121031322
51034310104440203310
613215452540425430
7633624014422335
oct100167607311572
916558550408830
104414121022330
111452022272058
125b35a0248276
13260332b39c96
14113904abd61c
1579c4c4404c0
hex403be1d937a

4414121022330 has 128 divisors (see below), whose sum is σ = 12391568409600. Its totient is φ = 1115051572800.

The previous prime is 4414121022323. The next prime is 4414121022347. The reversal of 4414121022330 is 332201214144.

4414121022330 is a `hidden beast` number, since 4 + 4 + 1 + 412 + 10 + 2 + 233 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4414121022294 and 4414121022303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75540825 + ... + 75599235.

It is an arithmetic number, because the mean of its divisors is an integer number (96809128200).

Almost surely, 24414121022330 is an apocalyptic number.

4414121022330 is an abundant number, since it is smaller than the sum of its proper divisors (7977447387270).

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

4414121022330 is a wasteful number, since it uses less digits than its factorization.

4414121022330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73177 (or 73171 counting only the distinct ones).

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

Adding to 4414121022330 its reverse (332201214144), we get a palindrome (4746322236474).

The spelling of 4414121022330 in words is "four trillion, four hundred fourteen billion, one hundred twenty-one million, twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 14731 29462 44193 58411 73655 88386 116822 132579 147310 175233 220965 265158 279889 292055 350466 397737 441930 525699 559778 584110 662895 795474 839667 876165 1051398 1109809 1325790 1399445 1577097 1679334 1752330 1988685 2219618 2519001 2628495 2798890 3154194 3329427 3977370 4198335 5038002 5256990 5549045 6658854 7557003 7885485 8396670 9988281 11098090 12595005 15114006 15770970 16647135 19976562 25190010 29964843 33294270 37785015 49941405 59929686 75570030 99882810 149824215 299648430 860452441 1720904882 2581357323 4302262205 5162714646 7744071969 8604524410 12906786615 15488143938 16348596379 23232215907 25813573230 32697192758 38720359845 46464431814 49045789137 77440719690 81742981895 98091578274 116161079535 147137367411 163485963790 232322159070 245228945685 294274734822 441412102233 490457891370 735686837055 882824204466 1471373674110 2207060511165 4414121022330