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1412240142040 = 235713461841601
BaseRepresentation
bin10100100011010000000…
…100100110111011011000
312000000020102222102202221
4110203100010212323120
5141114231434021130
63000435115233424
7204013425100240
oct24432004467330
95000212872687
101412240142040
114a4a2281a162
121a9850448874
13a323473c080
144c4d2098b20
1526b07a1887a
hex148d0126ed8

1412240142040 has 128 divisors (see below), whose sum is σ = 3919306849920. Its totient is φ = 445980672000.

The previous prime is 1412240142037. The next prime is 1412240142041. The reversal of 1412240142040 is 402410422141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1412240141996 and 1412240142014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412240142041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257240 + ... + 2098840.

It is an arithmetic number, because the mean of its divisors is an integer number (30619584765).

Almost surely, 21412240142040 is an apocalyptic number.

1412240142040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1412240142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959653424960).

1412240142040 is an abundant number, since it is smaller than the sum of its proper divisors (2507066707880).

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

1412240142040 is a wasteful number, since it uses less digits than its factorization.

1412240142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842093 (or 842089 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 1412240142040 its reverse (402410422141), we get a palindrome (1814650564181).

The spelling of 1412240142040 in words is "one trillion, four hundred twelve billion, two hundred forty million, one hundred forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 461 520 728 910 922 1820 1844 2305 3227 3640 3688 4610 5993 6454 9220 11986 12908 16135 18440 23972 25816 29965 32270 41951 47944 59930 64540 83902 119860 129080 167804 209755 239720 335608 419510 839020 841601 1678040 1683202 3366404 4208005 5891207 6732808 8416010 10940813 11782414 16832020 21881626 23564828 29456035 33664040 43763252 47129656 54704065 58912070 76585691 87526504 109408130 117824140 153171382 218816260 235648280 306342764 382928455 387978061 437632520 612685528 765856910 775956122 1531713820 1551912244 1939890305 2715846427 3063427640 3103824488 3879780610 5043714793 5431692854 7759561220 10087429586 10863385708 13579232135 15519122440 20174859172 21726771416 25218573965 27158464270 35306003551 40349718344 50437147930 54316928540 70612007102 100874295860 108633857080 141224014204 176530017755 201748591720 282448028408 353060035510 706120071020 1412240142040