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4344440454540 = 223552773332233
BaseRepresentation
bin111111001110000100110…
…101000111110110001100
3120101022202112011201200000
4333032010311013312030
51032134403224021130
613123450340204300
7625606166365044
oct77160465076614
916338675151600
104344440454540
11142551541714a
125a1b94399690
132568a9935294
141103b4698724
157801edcb260
hex3f384d47d8c

4344440454540 has 144 divisors (see below), whose sum is σ = 13667131933728. Its totient is φ = 1158439739904.

The previous prime is 4344440454527. The next prime is 4344440454577. The reversal of 4344440454540 is 454540444434.

It is a super-2 number, since 2×43444404545402 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134766264 + ... + 134798496.

Almost surely, 24344440454540 is an apocalyptic number.

It is an amenable number.

4344440454540 is an abundant number, since it is smaller than the sum of its proper divisors (9322691479188).

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

4344440454540 is a wasteful number, since it uses less digits than its factorization.

4344440454540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59990 (or 59976 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 45.

Adding to 4344440454540 its reverse (454540444434), we get a palindrome (4798980898974).

The spelling of 4344440454540 in words is "four trillion, three hundred forty-four billion, four hundred forty million, four hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 27733 32233 55466 64466 83199 96699 110932 128932 138665 161165 166398 193398 249597 277330 290097 322330 332796 386796 415995 483495 499194 554660 580194 644660 748791 831990 870291 966990 998388 1160388 1247985 1450485 1497582 1663980 1740582 1933980 2246373 2495970 2610873 2900970 2995164 3481164 3743955 4351455 4492746 4991940 5221746 5801940 6739119 7487910 7832619 8702910 8985492 10443492 11231865 13054365 13478238 14975820 15665238 17405820 22463730 26108730 26956476 31330476 33695595 39163095 44927460 52217460 67391190 78326190 134782380 156652380 893917789 1787835578 2681753367 3575671156 4469588945 5363506734 8045260101 8939177890 10727013468 13408766835 16090520202 17878355780 24135780303 26817533670 32181040404 40226300505 48271560606 53635067340 72407340909 80452601010 96543121212 120678901515 144814681818 160905202020 217222022727 241357803030 289629363636 362036704545 434444045454 482715606060 724073409090 868888090908 1086110113635 1448146818180 2172220227270 4344440454540