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1419915042 = 23373135897
BaseRepresentation
bin101010010100010…
…0010111100100010
310122221211011021000
41110220202330202
510401444240132
6352521412430
750121036000
oct12450427442
93587734230
101419915042
11669561207
1233763a116
13198232320
14d6817a70
15849ca87c
hex54a22f22

1419915042 has 128 divisors (see below), whose sum is σ = 3963456000. Its totient is φ = 374419584.

The previous prime is 1419915037. The next prime is 1419915059. The reversal of 1419915042 is 2405199141.

It is a happy number.

1419915042 is a `hidden beast` number, since 141 + 9 + 9 + 1 + 504 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1419914988 and 1419915006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237838 + ... + 243734.

It is an arithmetic number, because the mean of its divisors is an integer number (30964500).

Almost surely, 21419915042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1419915042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981728000).

1419915042 is an abundant number, since it is smaller than the sum of its proper divisors (2543540958).

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

1419915042 is a wasteful number, since it uses less digits than its factorization.

1419915042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942 (or 5922 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1419915042 is about 37681.7600703576. The cubic root of 1419915042 is about 1123.9684482010.

It can be divided in two parts, 14199 and 15042, that added together give a square (29241 = 1712).

The spelling of 1419915042 in words is "one billion, four hundred nineteen million, nine hundred fifteen thousand, forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 91 98 117 126 147 182 189 234 273 294 343 351 378 441 546 637 686 702 819 882 1029 1274 1323 1638 1911 2058 2457 2646 3087 3822 4459 4914 5733 5897 6174 8918 9261 11466 11794 13377 17199 17691 18522 26754 34398 35382 40131 41279 53073 76661 80262 82558 106146 120393 123837 153322 159219 229983 240786 247674 288953 318438 371511 459966 536627 577906 689949 743022 866859 1073254 1114533 1379898 1609881 1733718 2022671 2069847 2229066 2600577 3219762 3756389 4045342 4139694 4829643 5201154 6068013 7512778 7801731 9659286 11269167 12136026 14488929 15603462 18204039 22538334 26294723 28977858 33807501 36408078 52589446 54612117 67615002 78884169 101422503 109224234 157768338 202845006 236652507 473305014 709957521 1419915042