Search a number
-
+
3545156114430 = 235759400371479
BaseRepresentation
bin110011100101101011110…
…001010101011111111110
3110112220200000200021111020
4303211223301111133332
5431040434431130210
611312342223005010
7514062162526020
oct63455361253776
913486600607436
103545156114430
111147546228307
124930a9739766
131c93cb01bac8
14c382d3c6010
156233e851770
hex3396bc557fe

3545156114430 has 128 divisors (see below), whose sum is σ = 9891276595200. Its totient is φ = 796376997504.

The previous prime is 3545156114413. The next prime is 3545156114431. The reversal of 3545156114430 is 344116515453.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3545156114431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49561431 + ... + 49632909.

It is an arithmetic number, because the mean of its divisors is an integer number (77275598400).

Almost surely, 23545156114430 is an apocalyptic number.

3545156114430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3545156114430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945638297600).

3545156114430 is an abundant number, since it is smaller than the sum of its proper divisors (6346120480770).

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

3545156114430 is a wasteful number, since it uses less digits than its factorization.

3545156114430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75558.

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 3545156114430 in words is "three trillion, five hundred forty-five billion, one hundred fifty-six million, one hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 590 826 885 1239 1770 2065 2478 4003 4130 6195 8006 12009 12390 20015 24018 28021 40030 56042 60045 71479 84063 120090 140105 142958 168126 214437 236177 280210 357395 420315 428874 472354 500353 708531 714790 840630 1000706 1072185 1180885 1417062 1501059 1653239 2144370 2361770 2501765 3002118 3306478 3542655 4217261 4959717 5003530 7085310 7505295 8266195 8434522 9919434 12651783 15010590 16532390 21086305 24798585 25303566 29520827 42172610 49597170 59041654 63258915 88562481 126517830 147604135 177124962 286130437 295208270 442812405 572260874 858391311 885624810 1430652185 1716782622 2002913059 2861304370 4005826118 4291956555 6008739177 8583913110 10014565295 12017478354 16881695783 20029130590 30043695885 33763391566 50645087349 60087391770 84408478915 101290174698 118171870481 168816957830 236343740962 253225436745 354515611443 506450873490 590859352405 709031222886 1181718704810 1772578057215 3545156114430