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1141868448 = 25337188801
BaseRepresentation
bin100010000001111…
…1000011110100000
32221120121221001000
41010003320132200
54314304242243
6305150112000
740203502350
oct10403703640
92846557030
101141868448
11536611736
1227a4ab600
1315274cb06
14ab91ab60
156a3a65d3
hex440f87a0

1141868448 has 96 divisors (see below), whose sum is σ = 3806248320. Its totient is φ = 326246400.

The previous prime is 1141868447. The next prime is 1141868551. The reversal of 1141868448 is 8448681411.

1141868448 is a `hidden beast` number, since 1 + 141 + 8 + 68 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×11418684483 (a number of 28 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1141868447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88353 + ... + 100448.

It is an arithmetic number, because the mean of its divisors is an integer number (39648420).

Almost surely, 21141868448 is an apocalyptic number.

1141868448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1141868448 is an abundant number, since it is smaller than the sum of its proper divisors (2664379872).

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

1141868448 is a wasteful number, since it uses less digits than its factorization.

1141868448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188827 (or 188813 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 1141868448 is about 33791.5440310146. The cubic root of 1141868448 is about 1045.2143354378.

It can be divided in two parts, 1141868 and 448, that added together give a triangular number (1142316 = T1511).

The spelling of 1141868448 in words is "one billion, one hundred forty-one million, eight hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 188801 377602 566403 755204 1132806 1321607 1510408 1699209 2265612 2643214 3020816 3398418 3964821 4531224 5097627 5286428 6041632 6796836 7929642 9062448 10195254 10572856 11894463 13593672 15859284 18124896 20390508 21145712 23788926 27187344 31718568 35683389 40781016 42291424 47577852 54374688 63437136 71366778 81562032 95155704 126874272 142733556 163124064 190311408 285467112 380622816 570934224 1141868448