Search a number
-
+
1430158730096 = 24236780971699
BaseRepresentation
bin10100110011111100000…
…110100110001101110000
312001201111012222000121102
4110303330012212031300
5141412431113330341
63013001132543532
7205216444425605
oct24637406461560
95051435860542
101430158730096
11501588356618
121b1211321ba8
13a4b2bb366b5
144d311b726ac
1527305b8ec9b
hex14cfc1a6370

1430158730096 has 80 divisors (see below), whose sum is σ = 2938231584000. Its totient is φ = 672937926144.

The previous prime is 1430158730081. The next prime is 1430158730153. The reversal of 1430158730096 is 6900378510341.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1430158730096.

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, 19910855 + ... + 19982553.

It is an arithmetic number, because the mean of its divisors is an integer number (36727894800).

Almost surely, 21430158730096 is an apocalyptic number.

1430158730096 is a gapful number since it is divisible by the number (16) 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 1430158730096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469115792000).

1430158730096 is an abundant number, since it is smaller than the sum of its proper divisors (1508072853904).

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

1430158730096 is a wasteful number, since it uses less digits than its factorization.

1430158730096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72606 (or 72600 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 1430158730096 in words is "one trillion, four hundred thirty billion, one hundred fifty-eight million, seven hundred thirty thousand, ninety-six".

Divisors: 1 2 4 8 16 23 46 67 92 134 184 268 368 536 809 1072 1541 1618 3082 3236 6164 6472 12328 12944 18607 24656 37214 54203 71699 74428 108406 143398 148856 216812 286796 297712 433624 573592 867248 1147184 1246669 1649077 2493338 3298154 4803833 4986676 6596308 9607666 9973352 13192616 19215332 19946704 26385232 38430664 58004491 76861328 110488159 116008982 220976318 232017964 441952636 464035928 883905272 928071856 1334103293 1767810544 2668206586 3886300897 5336413172 7772601794 10672826344 15545203588 21345652688 31090407176 62180814352 89384920631 178769841262 357539682524 715079365048 1430158730096