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34541440050 = 23521322379433
BaseRepresentation
bin100000001010110101…
…001000110000110010
310022011020210221221110
4200022311020300302
51031220102040200
623511302534150
72331653252565
oct401265106062
9108136727843
1034541440050
1113715819177
12683ba37356
13334621aa30
1419596604dc
15d726a0b50
hex80ad48c32

34541440050 has 96 divisors (see below), whose sum is σ = 92667068928. Its totient is φ = 8464273920.

The previous prime is 34541440033. The next prime is 34541440057. The reversal of 34541440050 is 5004414543.

It is a super-2 number, since 2×345414400502 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (34541440057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395134 + ... + 474566.

It is an arithmetic number, because the mean of its divisors is an integer number (965281968).

Almost surely, 234541440050 is an apocalyptic number.

34541440050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34541440050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46333534464).

34541440050 is an abundant number, since it is smaller than the sum of its proper divisors (58125628878).

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

34541440050 is a wasteful number, since it uses less digits than its factorization.

34541440050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79684 (or 79679 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 34541440050 its reverse (5004414543), we get a palindrome (39545854593).

The spelling of 34541440050 in words is "thirty-four billion, five hundred forty-one million, four hundred forty thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 223 325 390 446 650 669 975 1115 1338 1950 2230 2899 3345 5575 5798 6690 8697 11150 14495 16725 17394 28990 33450 43485 72475 79433 86970 144950 158866 217425 238299 397165 434850 476598 794330 1032629 1191495 1985825 2065258 2382990 3097887 3971650 5163145 5957475 6195774 10326290 11914950 15489435 17713559 25815725 30978870 35427118 51631450 53140677 77447175 88567795 106281354 154894350 177135590 230276267 265703385 442838975 460552534 531406770 690828801 885677950 1151381335 1328516925 1381657602 2302762670 2657033850 3454144005 5756906675 6908288010 11513813350 17270720025 34541440050