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15344013040 = 245536754013
BaseRepresentation
bin11100100101001001…
…10000111011110000
31110121100110121212021
432102210300323300
5222411031404130
611014323241224
71052144646616
oct162244607360
943540417767
1015344013040
116564328114
122b82819214
1315a6bb7175
14a57bb36b6
155ec11937a
hex392930ef0

15344013040 has 80 divisors (see below), whose sum is σ = 36891129888. Its totient is φ = 5931813888.

The previous prime is 15344013031. The next prime is 15344013133. The reversal of 15344013040 is 4031044351.

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 = 15344012996 and 15344013014.

It is a congruent number.

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, 257074 + ... + 311086.

Almost surely, 215344013040 is an apocalyptic number.

15344013040 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 15344013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18445564944).

15344013040 is an abundant number, since it is smaller than the sum of its proper divisors (21547116848).

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

15344013040 is a wasteful number, since it uses less digits than its factorization.

15344013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54146 (or 54140 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 15344013040 its reverse (4031044351), we get a palindrome (19375057391).

The spelling of 15344013040 in words is "fifteen billion, three hundred forty-four million, thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 67 80 106 134 212 265 268 335 424 530 536 670 848 1060 1072 1340 2120 2680 3551 4240 5360 7102 14204 17755 28408 35510 54013 56816 71020 108026 142040 216052 270065 284080 432104 540130 864208 1080260 2160520 2862689 3618871 4321040 5725378 7237742 11450756 14313445 14475484 18094355 22901512 28626890 28950968 36188710 45803024 57253780 57901936 72377420 114507560 144754840 191800163 229015120 289509680 383600326 767200652 959000815 1534401304 1918001630 3068802608 3836003260 7672006520 15344013040