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45241242420 = 223511232980319
BaseRepresentation
bin101010001000100101…
…101001001100110100
311022202221101020110010
4222020211221030310
51220123224224140
632441124500220
73161056133643
oct521045511464
9138687336403
1045241242420
1118206558050
12892724a670
13435cba863a
14229270935a
15129bbe2880
hexa88969334

45241242420 has 96 divisors (see below), whose sum is σ = 144199802880. Its totient is φ = 10490719360.

The previous prime is 45241242419. The next prime is 45241242433. The reversal of 45241242420 is 2424214254.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1474980 + ... + 1505339.

It is an arithmetic number, because the mean of its divisors is an integer number (1502081280).

Almost surely, 245241242420 is an apocalyptic number.

It is an amenable number.

45241242420 is an abundant number, since it is smaller than the sum of its proper divisors (98958560460).

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

45241242420 is a wasteful number, since it uses less digits than its factorization.

45241242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980365 (or 2980363 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 45241242420 its reverse (2424214254), we get a palindrome (47665456674).

It can be divided in two parts, 45241 and 242420, that added together give a triangular number (287661 = T758).

The spelling of 45241242420 in words is "forty-five billion, two hundred forty-one million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 15180 2980319 5960638 8940957 11921276 14901595 17881914 29803190 32783509 35763828 44704785 59606380 65567018 68547337 89409570 98350527 131134036 137094674 163917545 178819140 196701054 205642011 274189348 327835090 342736685 393402108 411284022 491752635 655670180 685473370 754020707 822568044 983505270 1028210055 1370946740 1508041414 1967010540 2056420110 2262062121 3016082828 3770103535 4112840220 4524124242 7540207070 9048248484 11310310605 15080414140 22620621210 45241242420