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1141300836 = 2232133197811
BaseRepresentation
bin100010000000110…
…1101111001100100
32221112120002102100
41010001231321210
54314133111321
6305130012100
740165616454
oct10401557144
92845502370
101141300836
11536264235
1227a277030
131525b1650
14ab80dd64
156a2e3326
hex4406de64

1141300836 has 144 divisors (see below), whose sum is σ = 3244154368. Its totient is φ = 335923200.

The previous prime is 1141300793. The next prime is 1141300837. The reversal of 1141300836 is 6380031411.

It is not an unprimeable number, because it can be changed into a prime (1141300837) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1406871 + ... + 1407681.

Almost surely, 21141300836 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 1141300836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622077184).

1141300836 is an abundant number, since it is smaller than the sum of its proper divisors (2102853532).

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

1141300836 is a wasteful number, since it uses less digits than its factorization.

1141300836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1141300836 is about 33783.1442586388. The cubic root of 1141300836 is about 1045.0411180146.

The spelling of 1141300836 in words is "one billion, one hundred forty-one million, three hundred thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 97 117 124 156 186 194 234 279 291 372 388 403 468 558 582 806 811 873 1116 1164 1209 1261 1612 1622 1746 2418 2433 2522 3007 3244 3492 3627 3783 4836 4866 5044 6014 7254 7299 7566 9021 9732 10543 11349 12028 14508 14598 15132 18042 21086 22698 25141 27063 29196 31629 36084 39091 42172 45396 50282 54126 63258 75423 78182 78667 94887 100564 108252 117273 126516 150846 156364 157334 189774 226269 234546 236001 301692 314668 326833 351819 379548 452538 469092 472002 653666 703638 708003 905076 944004 980499 1022671 1307332 1407276 1416006 1960998 2045342 2438677 2832012 2941497 3068013 3921996 4090684 4877354 5882994 6136026 7316031 9204039 9754708 11765988 12272052 14632062 18408078 21948093 29264124 31702801 36816156 43896186 63405602 87792372 95108403 126811204 190216806 285325209 380433612 570650418 1141300836