Search a number
-
+
44357421752040 = 233521112231432439
BaseRepresentation
bin10100001010111110001000…
…10111011101111011101000
312211001112020222200222102210
422011133010113131323220
521303222444432031130
6234201303534525120
712225501155603145
oct1205370427357350
9184045228628383
1044357421752040
1113151971202161
124b849229667a0
131b99b6b753a67
14ad4ca6c313cc
1551dc895a35b0
hex2857c45ddee8

44357421752040 has 128 divisors (see below), whose sum is σ = 133812356659200. Its totient is φ = 11762951665920.

The previous prime is 44357421752029. The next prime is 44357421752069. The reversal of 44357421752040 is 4025712475344.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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, 30250141 + ... + 31682579.

It is an arithmetic number, because the mean of its divisors is an integer number (1045409036400).

Almost surely, 244357421752040 is an apocalyptic number.

44357421752040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44357421752040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66906178329600).

44357421752040 is an abundant number, since it is smaller than the sum of its proper divisors (89454934907160).

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

44357421752040 is a wasteful number, since it uses less digits than its factorization.

44357421752040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433887 (or 1433883 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 48.

The spelling of 44357421752040 in words is "forty-four trillion, three hundred fifty-seven billion, four hundred twenty-one million, seven hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 211 422 633 844 1055 1223 1266 1688 2110 2446 2532 3165 3669 4220 4892 5064 6115 6330 7338 8440 9784 12230 12660 14676 18345 24460 25320 29352 36690 48920 73380 146760 258053 516106 774159 1032212 1290265 1432439 1548318 2064424 2580530 2864878 3096636 3870795 4297317 5161060 5729756 6193272 7162195 7741590 8594634 10322120 11459512 14324390 15483180 17189268 21486585 28648780 30966360 34378536 42973170 57297560 85946340 171892680 302244629 604489258 906733887 1208978516 1511223145 1751872897 1813467774 2417957032 3022446290 3503745794 3626935548 4533669435 5255618691 6044892580 7007491588 7253871096 8759364485 9067338870 10511237382 12089785160 14014983176 17518728970 18134677740 21022474764 26278093455 35037457940 36269355480 42044949528 52556186910 70074915880 105112373820 210224747640 369645181267 739290362534 1108935543801 1478580725068 1848225906335 2217871087602 2957161450136 3696451812670 4435742175204 5544677719005 7392903625340 8871484350408 11089355438010 14785807250680 22178710876020 44357421752040