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142415442740 = 225313728321937
BaseRepresentation
bin1000010010100010011…
…1110011001100110100
3111121121011210002021102
42010220213303030310
54313131323131430
6145231425105232
713201121201264
oct2045047631464
9447534702242
10142415442740
115544189400a
1223726788218
131057812695c
146c7034b7a4
153a87ce8345
hex21289f3334

142415442740 has 96 divisors (see below), whose sum is σ = 318198580224. Its totient is φ = 53446625280.

The previous prime is 142415442737. The next prime is 142415442749. The reversal of 142415442740 is 47244514241.

It is a junction number, because it is equal to n+sod(n) for n = 142415442694 and 142415442703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142415442749) 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, 6481052 + ... + 6502988.

It is an arithmetic number, because the mean of its divisors is an integer number (3314568544).

Almost surely, 2142415442740 is an apocalyptic number.

142415442740 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 142415442740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159099290112).

142415442740 is an abundant number, since it is smaller than the sum of its proper divisors (175783137484).

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

142415442740 is a wasteful number, since it uses less digits than its factorization.

142415442740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22297 (or 22295 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 38.

Adding to 142415442740 its reverse (47244514241), we get a palindrome (189659956981).

The spelling of 142415442740 in words is "one hundred forty-two billion, four hundred fifteen million, four hundred forty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 31 37 62 74 124 148 155 185 283 310 370 566 620 740 1132 1147 1415 2294 2830 4588 5660 5735 8773 10471 11470 17546 20942 21937 22940 35092 41884 43865 43874 52355 87730 87748 104710 109685 175460 209420 219370 324601 438740 649202 680047 811669 1298404 1360094 1623005 1623338 2720188 3246010 3246676 3400235 4058345 6208171 6492020 6800470 8116690 12416342 13600940 16233380 24832684 25161739 31040855 50323478 62081710 100646956 124163420 125808695 192453301 229702327 251617390 384906602 459404654 503234780 769813204 918809308 962266505 1148511635 1924533010 2297023270 3849066020 4594046540 7120772137 14241544274 28483088548 35603860685 71207721370 142415442740