Search a number
-
+
13045355442 = 23271392772689
BaseRepresentation
bin11000010011001000…
…00101001110110010
31020200011010201102200
430021210011032302
5203204102333232
65554251124030
7641163456150
oct141144051662
936604121380
1013045355442
115594843699
122640a43616
1312cb8c2042
148ba7b43d0
1551541077c
hex3099053b2

13045355442 has 96 divisors (see below), whose sum is σ = 32664777600. Its totient is φ = 3685699584.

The previous prime is 13045355423. The next prime is 13045355461. The reversal of 13045355442 is 24455354031.

13045355442 is a `hidden beast` number, since 1 + 30 + 4 + 535 + 54 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (13045355423) and next prime (13045355461).

It is a junction number, because it is equal to n+sod(n) for n = 13045355397 and 13045355406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4850034 + ... + 4852722.

It is an arithmetic number, because the mean of its divisors is an integer number (340258100).

Almost surely, 213045355442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13045355442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16332388800).

13045355442 is an abundant number, since it is smaller than the sum of its proper divisors (19619422158).

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

13045355442 is a wasteful number, since it uses less digits than its factorization.

13045355442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 13045355442 in words is "thirteen billion, forty-five million, three hundred fifty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 139 277 278 417 554 831 834 973 1251 1662 1939 1946 2493 2502 2689 2919 3878 4986 5378 5817 5838 8067 8757 11634 16134 17451 17514 18823 24201 34902 37646 38503 48402 56469 77006 112938 115509 169407 231018 269521 338814 346527 373771 539042 693054 744853 747542 808563 1121313 1489706 1617126 2234559 2242626 2425689 2616397 3363939 4469118 4851378 5213971 5232794 6703677 6727878 7849191 10427942 13407354 15641913 15698382 23547573 31283826 46925739 47095146 93851478 103534567 207069134 310603701 621207402 724741969 931811103 1449483938 1863622206 2174225907 4348451814 6522677721 13045355442