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133130031141040 = 2455540773003419
BaseRepresentation
bin11110010001010011000000…
…001101110001000010110000
3122110101002212202210221022121
4132101103000031301002300
5114422200300433003130
61151051031512044024
740020220164343243
oct3621230015610260
9573332782727277
10133130031141040
113946814698282a
1212b215aa093614
13593915357105b
1424c375674925a
15105d03e752d7a
hex7914c03710b0

133130031141040 has 40 divisors (see below), whose sum is σ = 309527984097360. Its totient is φ = 53251898616576.

The previous prime is 133130031141001. The next prime is 133130031141049. The reversal of 133130031141040 is 40141130031331.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1331300311410403 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 133130031140996 and 133130031141014.

It is not an unprimeable number, because it can be changed into a prime (133130031141049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42824451 + ... + 45827869.

It is an arithmetic number, because the mean of its divisors is an integer number (7738199602434).

Almost surely, 2133130031141040 is an apocalyptic number.

133130031141040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133130031141040 is an abundant number, since it is smaller than the sum of its proper divisors (176397952956320).

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

133130031141040 is a wasteful number, since it uses less digits than its factorization.

133130031141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557509 (or 3557503 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 133130031141040 its reverse (40141130031331), we get a palindrome (173271161172371).

The spelling of 133130031141040 in words is "one hundred thirty-three trillion, one hundred thirty billion, thirty-one million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 554077 1108154 2216308 2770385 3003419 4432616 5540770 6006838 8865232 11081540 12013676 15017095 22163080 24027352 30034190 44326160 48054704 60068380 120136760 240273520 1664125389263 3328250778526 6656501557052 8320626946315 13313003114104 16641253892630 26626006228208 33282507785260 66565015570520 133130031141040