Search a number
-
+
15742035144 = 2332113164267
BaseRepresentation
bin11101010100100110…
…00110010011001000
31111122002102020112200
432222103012103020
5224214430111034
611122022240200
71065050043123
oct165223062310
944562366480
1015742035144
116748a72000
123073b86060
13163b4b53c4
14a949c13ba
1562203ba99
hex3aa4c64c8

15742035144 has 96 divisors (see below), whose sum is σ = 46895228640. Its totient is φ = 4770284640.

The previous prime is 15742035137. The next prime is 15742035167. The reversal of 15742035144 is 44153024751.

It is a super-2 number, since 2×157420351442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15742035099 and 15742035108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13699 + ... + 177965.

It is an arithmetic number, because the mean of its divisors is an integer number (488491965).

Almost surely, 215742035144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15742035144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23447614320).

15742035144 is an abundant number, since it is smaller than the sum of its proper divisors (31153193496).

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

15742035144 is a wasteful number, since it uses less digits than its factorization.

15742035144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164312 (or 164283 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 15742035144 its reverse (44153024751), we get a palindrome (59895059895).

The spelling of 15742035144 in words is "fifteen billion, seven hundred forty-two million, thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1331 1452 2178 2662 2904 3993 4356 5324 7986 8712 10648 11979 15972 23958 31944 47916 95832 164267 328534 492801 657068 985602 1314136 1478403 1806937 1971204 2956806 3613874 3942408 5420811 5913612 7227748 10841622 11827224 14455496 16262433 19876307 21683244 32524866 39752614 43366488 59628921 65049732 79505228 119257842 130099464 159010456 178886763 218639377 238515684 357773526 437278754 477031368 655918131 715547052 874557508 1311836262 1431094104 1749115016 1967754393 2623672524 3935508786 5247345048 7871017572 15742035144