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15243405040 = 2453712913989
BaseRepresentation
bin11100011001001001…
…11110011011110000
31110100100011012122001
432030210332123300
5222204302430130
611000331023344
71046513543053
oct161444763360
943310135561
1015243405040
116512560906
122b54b9ab54
13158c0bc9c6
14a486a4a9a
155e33946ca
hex38c93e6f0

15243405040 has 80 divisors (see below), whose sum is σ = 36436105440. Its totient is φ = 5926487040.

The previous prime is 15243405019. The next prime is 15243405041. The reversal of 15243405040 is 4050434251.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×152434050402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15243405041) 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, 3819366 + ... + 3823354.

It is an arithmetic number, because the mean of its divisors is an integer number (455451318).

Almost surely, 215243405040 is an apocalyptic number.

15243405040 is a gapful number since it is divisible by the number (10) 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 15243405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18218052720).

15243405040 is an abundant number, since it is smaller than the sum of its proper divisors (21192700400).

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

15243405040 is a wasteful number, since it uses less digits than its factorization.

15243405040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5330 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 15243405040 its reverse (4050434251), we get a palindrome (19293839291).

The spelling of 15243405040 in words is "fifteen billion, two hundred forty-three million, four hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1291 1480 2582 2960 3989 5164 6455 7978 10328 12910 15956 19945 20656 25820 31912 39890 47767 51640 63824 79780 95534 103280 147593 159560 191068 238835 295186 319120 382136 477670 590372 737965 764272 955340 1180744 1475930 1910680 2361488 2951860 3821360 5149799 5903720 10299598 11807440 20599196 25748995 41198392 51497990 82396784 102995980 190542563 205991960 381085126 411983920 762170252 952712815 1524340504 1905425630 3048681008 3810851260 7621702520 15243405040