Search a number
-
+
10412715040 = 255713715159
BaseRepresentation
bin10011011001010010…
…10110110000100000
3222212200100201201121
421230221112300200
5132311123340130
64441124342024
7516015421540
oct115451266040
928780321647
1010412715040
114463784a22
122027244914
13c9c361360
1470acb7320
1540e233d7a
hex26ca56c20

10412715040 has 96 divisors (see below), whose sum is σ = 30277013760. Its totient is φ = 3295448064.

The previous prime is 10412715037. The next prime is 10412715133. The reversal of 10412715040 is 4051721401.

It is a junction number, because it is equal to n+sod(n) for n = 10412714996 and 10412715014.

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, 343020 + ... + 372139.

It is an arithmetic number, because the mean of its divisors is an integer number (315385560).

Almost surely, 210412715040 is an apocalyptic number.

10412715040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10412715040 is an abundant number, since it is smaller than the sum of its proper divisors (19864298720).

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

10412715040 is a wasteful number, since it uses less digits than its factorization.

10412715040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715194 (or 715186 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The spelling of 10412715040 in words is "ten billion, four hundred twelve million, seven hundred fifteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 7280 14560 715159 1430318 2860636 3575795 5006113 5721272 7151590 9297067 10012226 11442544 14303180 18594134 20024452 22885088 25030565 28606360 37188268 40048904 46485335 50061130 57212720 65079469 74376536 80097808 92970670 100122260 114425440 130158938 148753072 160195616 185941340 200244520 260317876 297506144 325397345 371882680 400489040 520635752 650794690 743765360 800978080 1041271504 1301589380 1487530720 2082543008 2603178760 5206357520 10412715040