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133143101440 = 2155812641
BaseRepresentation
bin111101111111111110…
…0101000000000000000
3110201122222020100020021
41323333330220000000
54140134113221230
6141055354423224
712422260455256
oct1737774500000
9421588210207
10133143101440
115151389a828
1221979431b14
13c72b110c7b
146630ac25d6
1536e3c72c7a
hex1efff28000

133143101440 has 64 divisors (see below), whose sum is σ = 319538960820. Its totient is φ = 53257175040.

The previous prime is 133143101309. The next prime is 133143101449. The reversal of 133143101440 is 44101341331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 131867754496 + 1275346944 = 363136^2 + 35712^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1331431014403 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (133143101449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 242481 + ... + 570160.

Almost surely, 2133143101440 is an apocalyptic number.

133143101440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133143101440 is an abundant number, since it is smaller than the sum of its proper divisors (186395859380).

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

133143101440 is an frugal number, since it uses more digits than its factorization.

133143101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812676 (or 812648 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 133143101440 its reverse (44101341331), we get a palindrome (177244442771).

The spelling of 133143101440 in words is "one hundred thirty-three billion, one hundred forty-three million, one hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 16384 20480 32768 40960 81920 163840 812641 1625282 3250564 4063205 6501128 8126410 13002256 16252820 26004512 32505640 52009024 65011280 104018048 130022560 208036096 260045120 416072192 520090240 832144384 1040180480 1664288768 2080360960 3328577536 4160721920 6657155072 8321443840 13314310144 16642887680 26628620288 33285775360 66571550720 133143101440