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73424144440 = 235171013106591
BaseRepresentation
bin100010001100001101…
…0111000100000111000
321000112001111000000001
41010120122320200320
52200333040110230
653421450122344
75206342634023
oct1043032704070
9230461430001
1073424144440
1129159019509
12122917203b4
136c0197511a
1437a76aa1ba
151d9b0370ca
hex11186b8838

73424144440 has 64 divisors (see below), whose sum is σ = 175096546560. Its totient is φ = 27614484480.

The previous prime is 73424144411. The next prime is 73424144447. The reversal of 73424144440 is 4444142437.

It is a super-2 number, since 2×734241444402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73424144440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73424144447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635545 + ... + 742135.

It is an arithmetic number, because the mean of its divisors is an integer number (2735883540).

Almost surely, 273424144440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73424144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87548273280).

73424144440 is an abundant number, since it is smaller than the sum of its proper divisors (101672402120).

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

73424144440 is a wasteful number, since it uses less digits than its factorization.

73424144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107632 (or 107628 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 37.

Adding to 73424144440 its reverse (4444142437), we get a palindrome (77868286877).

The spelling of 73424144440 in words is "seventy-three billion, four hundred twenty-four million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1013 2026 4052 5065 8104 10130 17221 20260 34442 40520 68884 86105 106591 137768 172210 213182 344420 426364 532955 688840 852728 1065910 1812047 2131820 3624094 4263640 7248188 9060235 14496376 18120470 36240940 72481880 107976683 215953366 431906732 539883415 863813464 1079766830 1835603611 2159533660 3671207222 4319067320 7342414444 9178018055 14684828888 18356036110 36712072220 73424144440