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154000015540 = 225724127114143
BaseRepresentation
bin1000111101101100011…
…1011100000010110100
3112201111112012100122021
42033123013130002310
510010343000444130
6154425134442524
714061156351100
oct2173307340264
9481445170567
10154000015540
115a346aa3018
1225a1a363444
13116a31a7c67
14764cb0a900
154014d5937a
hex23db1dc0b4

154000015540 has 144 divisors (see below), whose sum is σ = 386825048064. Its totient is φ = 51318489600.

The previous prime is 154000015501. The next prime is 154000015567. The reversal of 154000015540 is 45510000451.

It is a happy number.

154000015540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10881709 + ... + 10895851.

It is an arithmetic number, because the mean of its divisors is an integer number (2686285056).

Almost surely, 2154000015540 is an apocalyptic number.

154000015540 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 154000015540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193412524032).

154000015540 is an abundant number, since it is smaller than the sum of its proper divisors (232825032524).

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

154000015540 is a wasteful number, since it uses less digits than its factorization.

154000015540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14478 (or 14469 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 154000015540 its reverse (45510000451), we get a palindrome (199510015991).

The spelling of 154000015540 in words is "one hundred fifty-four billion, fifteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 70 82 98 140 164 196 205 245 271 287 410 490 542 574 820 980 1084 1148 1355 1435 1897 2009 2710 2870 3794 4018 5420 5740 7588 8036 9485 10045 11111 13279 14143 18970 20090 22222 26558 28286 37940 40180 44444 53116 55555 56572 66395 70715 77777 99001 111110 132790 141430 155554 198002 222220 265580 282860 311108 388885 396004 495005 544439 579863 693007 777770 990010 1088878 1159726 1386014 1555540 1980020 2177756 2319452 2722195 2772028 2899315 3465035 3832753 4059041 5444390 5798630 6930070 7665506 8118082 10888780 11597260 13860140 15331012 16236164 19163765 20295205 26829271 28413287 38327530 40590410 53658542 56826574 76655060 81180820 107317084 113653148 134146355 142066435 157142873 187804897 268292710 284132870 314285746 375609794 536585420 568265740 628571492 751219588 785714365 939024485 1100000111 1571428730 1878048970 2200000222 3142857460 3756097940 4400000444 5500000555 7700000777 11000001110 15400001554 22000002220 30800003108 38500003885 77000007770 154000015540