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1149633342 = 23211213192137
BaseRepresentation
bin100010010000110…
…0000001100111110
32222010020102110200
41010201200030332
54323301231332
6310024344330
740326502464
oct10441401476
92863212420
101149633342
1153aa35600
122810150a6
1315423b220
14ac97c834
156addc17c
hex4486033e

1149633342 has 144 divisors (see below), whose sum is σ = 3105145680. Its totient is φ = 304508160.

The previous prime is 1149633299. The next prime is 1149633421. The reversal of 1149633342 is 2433369411.

1149633342 is a `hidden beast` number, since 1 + 14 + 9 + 633 + 3 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1149633297 and 1149633306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 536898 + ... + 539034.

Almost surely, 21149633342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1149633342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552572840).

1149633342 is an abundant number, since it is smaller than the sum of its proper divisors (1955512338).

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

1149633342 is a wasteful number, since it uses less digits than its factorization.

1149633342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2185 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 1149633342 is about 33906.2434073726. The cubic root of 1149633342 is about 1047.5781953197.

The spelling of 1149633342 in words is "one billion, one hundred forty-nine million, six hundred thirty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 33 38 39 57 66 78 99 114 117 121 143 171 198 209 234 242 247 286 342 363 418 429 494 627 726 741 858 1089 1254 1287 1482 1573 1881 2137 2178 2223 2299 2574 2717 3146 3762 4274 4446 4598 4719 5434 6411 6897 8151 9438 12822 13794 14157 16302 19233 20691 23507 24453 27781 28314 29887 38466 40603 41382 47014 48906 55562 59774 70521 81206 83343 89661 121809 141042 166686 179322 211563 243618 250029 258577 268983 305591 365427 423126 446633 500058 517154 527839 537966 611182 730854 775731 893266 916773 1055678 1339899 1551462 1583517 1833546 2327193 2679798 2750319 3167034 3361501 4019697 4654386 4750551 4912963 5500638 5806229 6723002 8039394 9501102 9825926 10084503 11612458 14738889 17418687 20169006 29477778 30253509 34837374 44216667 52256061 60507018 63868519 88433334 104512122 127737038 191605557 383211114 574816671 1149633342