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142445513540 = 225112939756239
BaseRepresentation
bin1000010010101001101…
…0100000101101000100
3111121200021100211122202
42010222122200231010
54313212022413130
6145234421414032
713201634613251
oct2045232405504
9447607324582
10142445513540
1155457862710
122373486a318
1310581424c25
146c74338428
153a8a788145
hex212a6a0b44

142445513540 has 96 divisors (see below), whose sum is σ = 338438822400. Its totient is φ = 49885355520.

The previous prime is 142445513503. The next prime is 142445513557. The reversal of 142445513540 is 45315544241.

It is a junction number, because it is equal to n+sod(n) for n = 142445513494 and 142445513503.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2504741 + ... + 2560979.

It is an arithmetic number, because the mean of its divisors is an integer number (3525404400).

Almost surely, 2142445513540 is an apocalyptic number.

142445513540 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 142445513540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169219411200).

142445513540 is an abundant number, since it is smaller than the sum of its proper divisors (195993308860).

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

142445513540 is a wasteful number, since it uses less digits than its factorization.

142445513540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56685 (or 56683 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 38.

The spelling of 142445513540 in words is "one hundred forty-two billion, four hundred forty-five million, five hundred thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 397 580 638 794 1276 1588 1595 1985 3190 3970 4367 6380 7940 8734 11513 17468 21835 23026 43670 46052 56239 57565 87340 112478 115130 126643 224956 230260 253286 281195 506572 562390 618629 633215 1124780 1237258 1266430 1630931 2474516 2532860 3093145 3261862 6186290 6523724 8154655 12372580 16309310 17940241 22326883 32618620 35880482 44653766 71760964 89307532 89701205 111634415 179402410 223268830 245595713 358804820 446537660 491191426 647479607 982382852 1227978565 1294959214 2455957130 2589918428 3237398035 4911914260 6474796070 7122275677 12949592140 14244551354 28489102708 35611378385 71222756770 142445513540