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144014152300 = 225241471814129
BaseRepresentation
bin1000011000011111101…
…0011001001001101100
3111202201121000221111121
42012013322121021230
54324420110333200
6150054215030324
713255543045144
oct2060772311154
9452647027447
10144014152300
1156092264187
1223ab206b3a4
13107713ca245
146d827c7924
153b2d33ee1a
hex2187e9926c

144014152300 has 144 divisors (see below), whose sum is σ = 328830203520. Its totient is φ = 54687744000.

The previous prime is 144014152283. The next prime is 144014152301. The reversal of 144014152300 is 3251410441.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (144014152301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34876636 + ... + 34880764.

It is an arithmetic number, because the mean of its divisors is an integer number (2283543080).

Almost surely, 2144014152300 is an apocalyptic number.

144014152300 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 144014152300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164415101760).

144014152300 is an abundant number, since it is smaller than the sum of its proper divisors (184816051220).

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

144014152300 is a wasteful number, since it uses less digits than its factorization.

144014152300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 144014152300 its reverse (3251410441), we get a palindrome (147265562741).

The spelling of 144014152300 in words is "one hundred forty-four billion, fourteen million, one hundred fifty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 47 50 82 94 100 164 181 188 205 235 362 410 470 724 820 905 940 1025 1175 1810 1927 2050 2350 3620 3854 4100 4129 4525 4700 7421 7708 8258 8507 9050 9635 14842 16516 17014 18100 19270 20645 29684 34028 37105 38540 41290 42535 48175 74210 82580 85070 96350 103225 148420 169289 170140 185525 192700 194063 206450 212675 338578 348787 371050 388126 412900 425350 677156 697574 742100 747349 776252 846445 850700 970315 1395148 1494698 1692890 1743935 1940630 2989396 3385780 3487870 3736745 3881260 4232225 4851575 6975740 7473490 7956583 8464450 8719675 9703150 14946980 15913166 16928900 17439350 18683725 19406300 30641309 31826332 34878700 35125403 37367450 39782915 61282618 70250806 74734900 79565830 122565236 140501612 153206545 159131660 175627015 198914575 306413090 351254030 397829150 612826180 702508060 766032725 795658300 878135075 1440141523 1532065450 1756270150 2880283046 3064130900 3512540300 5760566092 7200707615 14401415230 28802830460 36003538075 72007076150 144014152300