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131455212240 = 24351149793641
BaseRepresentation
bin111101001101101010…
…1110101101011010000
3110120022100011200112110
41322123111311223100
54123210013242430
6140220101225320
712332403603432
oct1723325655320
9416270150473
10131455212240
1150828049680
1221588102240
13c51c514c71
146510870652
1536459b27b0
hex1e9b575ad0

131455212240 has 80 divisors (see below), whose sum is σ = 444557635776. Its totient is φ = 31867929600.

The previous prime is 131455212209. The next prime is 131455212241. The reversal of 131455212240 is 42212554131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131455212198 and 131455212207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131455212241) 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, 24894181 + ... + 24899460.

Almost surely, 2131455212240 is an apocalyptic number.

131455212240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131455212240 is an abundant number, since it is smaller than the sum of its proper divisors (313102423536).

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

131455212240 is a wasteful number, since it uses less digits than its factorization.

131455212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49793668 (or 49793662 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 131455212240 its reverse (42212554131), we get a palindrome (173667766371).

The spelling of 131455212240 in words is "one hundred thirty-one billion, four hundred fifty-five million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 49793641 99587282 149380923 199174564 248968205 298761846 398349128 497936410 547730051 597523692 746904615 796698256 995872820 1095460102 1195047384 1493809230 1643190153 1991745640 2190920204 2390094768 2738650255 2987618460 3286380306 3983491280 4381840408 5477300510 5975236920 6572760612 8215950765 8763680816 10954601020 11950473840 13145521224 16431901530 21909202040 26291042448 32863803060 43818404080 65727606120 131455212240