Search a number
-
+
1461720243438 = 233713297460367
BaseRepresentation
bin10101010001010101010…
…100001101110011101110
312011201221210112000121000
4111101111110031303232
5142422100340242223
63035301025421130
7210414535031520
oct25212524156356
95151853460530
101461720243438
11513a03a74744
121b735b19a7a6
13a7abb87a790
1450a67733a10
1528051914543
hex1545550dcee

1461720243438 has 64 divisors (see below), whose sum is σ = 3997867345920. Its totient is φ = 385508634336.

The previous prime is 1461720243437. The next prime is 1461720243469. The reversal of 1461720243438 is 8343420271641.

1461720243438 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 7 + 202 + 4 + 3 + 438 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1461720243393 and 1461720243402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461720243437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148725270 + ... + 148735097.

It is an arithmetic number, because the mean of its divisors is an integer number (62466677280).

Almost surely, 21461720243438 is an apocalyptic number.

1461720243438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1461720243438 is an abundant number, since it is smaller than the sum of its proper divisors (2536147102482).

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

1461720243438 is a wasteful number, since it uses less digits than its factorization.

1461720243438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297460398 (or 297460392 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 1461720243438 in words is "one trillion, four hundred sixty-one billion, seven hundred twenty million, two hundred forty-three thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 297460367 594920734 892381101 1784762202 2082222569 2677143303 3866984771 4164445138 5354286606 6246667707 7733969542 8031429909 11600954313 12493335414 16062859818 18740003121 23201908626 27068893397 34802862939 37480006242 54137786794 56220009363 69605725878 81206680191 104408588817 112440018726 162413360382 208817177634 243620040573 487240081146 730860121719 1461720243438