Search a number
-
+
120451142540040 = 233513251307618609
BaseRepresentation
bin11011011000110010110111…
…100100000101101100001000
3120210111000110020001121211220
4123120302313210011230020
5111241432414442240130
61104102254015122040
734241210412411354
oct3330626744055410
9523430406047756
10120451142540040
113541a051899924
12116142a3b13320
135229656431410
1421a5c1b5b6464
15ddd325d7e410
hex6d8cb7905b08

120451142540040 has 128 divisors (see below), whose sum is σ = 390700244188800. Its totient is φ = 29531386368000.

The previous prime is 120451142540033. The next prime is 120451142540041. The reversal of 120451142540040 is 40045241154021.

It is a junction number, because it is equal to n+sod(n) for n = 120451142539983 and 120451142540010.

It is not an unprimeable number, because it can be changed into a prime (120451142540041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153417745 + ... + 154200864.

It is an arithmetic number, because the mean of its divisors is an integer number (3052345657725).

Almost surely, 2120451142540040 is an apocalyptic number.

120451142540040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120451142540040 is an abundant number, since it is smaller than the sum of its proper divisors (270249101648760).

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

120451142540040 is a wasteful number, since it uses less digits than its factorization.

120451142540040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307618887 (or 307618883 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

Adding to 120451142540040 its reverse (40045241154021), we get a palindrome (160496383694061).

The spelling of 120451142540040 in words is "one hundred twenty trillion, four hundred fifty-one billion, one hundred forty-two million, five hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 251 260 312 390 502 520 753 780 1004 1255 1506 1560 2008 2510 3012 3263 3765 5020 6024 6526 7530 9789 10040 13052 15060 16315 19578 26104 30120 32630 39156 48945 65260 78312 97890 130520 195780 391560 307618609 615237218 922855827 1230474436 1538093045 1845711654 2460948872 3076186090 3691423308 3999041917 4614279135 6152372180 7382846616 7998083834 9228558270 11997125751 12304744360 15996167668 18457116540 19995209585 23994251502 31992335336 36914233080 39990419170 47988503004 59985628755 77212270859 79980838340 95977006008 119971257510 154424541718 159961676680 231636812577 239942515020 308849083436 386061354295 463273625154 479885030040 617698166872 772122708590 926547250308 1003759521167 1158184062885 1544245417180 1853094500616 2007519042334 2316368125770 3011278563501 3088490834360 4015038084668 4632736251540 5018797605835 6022557127002 8030076169336 9265472503080 10037595211670 12045114254004 15056392817505 20075190423340 24090228508008 30112785635010 40150380846680 60225571270020 120451142540040