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15340053040 = 2451364123011
BaseRepresentation
bin11100100100101011…
…01010001000110000
31110121002000102202121
432102111222020300
5222404023144130
611014102324024
71052066204464
oct162225521060
943532012677
1015340053040
116562072994
122b81429614
1315a612b880
14a574624a4
155ebad5d7a
hex39256a230

15340053040 has 80 divisors (see below), whose sum is σ = 38470725216. Its totient is φ = 5654937600.

The previous prime is 15340053031. The next prime is 15340053059. The reversal of 15340053040 is 4035004351.

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

It is a junction number, because it is equal to n+sod(n) for n = 15340052996 and 15340053014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655135 + ... + 678145.

Almost surely, 215340053040 is an apocalyptic number.

15340053040 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 15340053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19235362608).

15340053040 is an abundant number, since it is smaller than the sum of its proper divisors (23130672176).

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

15340053040 is a wasteful number, since it uses less digits than its factorization.

15340053040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23678 (or 23672 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 15340053040 its reverse (4035004351), we get a palindrome (19375057391).

The spelling of 15340053040 in words is "fifteen billion, three hundred forty million, fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 641 1040 1282 2564 3205 5128 6410 8333 10256 12820 16666 23011 25640 33332 41665 46022 51280 66664 83330 92044 115055 133328 166660 184088 230110 299143 333320 368176 460220 598286 666640 920440 1196572 1495715 1840880 2393144 2991430 4786288 5982860 11965720 14750051 23931440 29500102 59000204 73750255 118000408 147500510 191750663 236000816 295001020 383501326 590002040 767002652 958753315 1180004080 1534005304 1917506630 3068010608 3835013260 7670026520 15340053040