Search a number
-
+
140101100000 = 25554134171
BaseRepresentation
bin1000001001111010101…
…1010010000111100000
3111101121212221021212122
42002132223102013200
54243411340200000
6144210032443412
713056556462331
oct2023653220740
9441555837778
10140101100000
1154464467064
122319b6a9568
13102997cc394
146ad0c28288
15399ea42085
hex209ead21e0

140101100000 has 144 divisors (see below), whose sum is σ = 353177051472. Its totient is φ = 54672000000.

The previous prime is 140101099991. The next prime is 140101100021. The reversal of 140101100000 is 1101041.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4082915 + ... + 4117085.

It is an arithmetic number, because the mean of its divisors is an integer number (2452618413).

Almost surely, 2140101100000 is an apocalyptic number.

140101100000 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 140101100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176588525736).

140101100000 is an abundant number, since it is smaller than the sum of its proper divisors (213075951472).

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

140101100000 is an frugal number, since it uses more digits than its factorization.

140101100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34247 (or 34219 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 140101100000 its reverse (1101041), we get a palindrome (140102201041).

The spelling of 140101100000 in words is "one hundred forty billion, one hundred one million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 625 656 800 820 1000 1025 1250 1312 1640 2000 2050 2500 3125 3280 4000 4100 5000 5125 6250 6560 8200 10000 10250 12500 16400 20000 20500 25000 25625 32800 34171 41000 50000 51250 68342 82000 100000 102500 128125 136684 164000 170855 205000 256250 273368 341710 410000 512500 546736 683420 820000 854275 1025000 1093472 1366840 1401011 1708550 2050000 2733680 2802022 3417100 4100000 4271375 5467360 5604044 6834200 7005055 8542750 11208088 13668400 14010110 17085500 21356875 22416176 27336800 28020220 34171000 35025275 42713750 44832352 56040440 68342000 70050550 85427500 106784375 112080880 136684000 140101100 170855000 175126375 213568750 224161760 280202200 341710000 350252750 427137500 560404400 683420000 700505500 854275000 875631875 1120808800 1401011000 1708550000 1751263750 2802022000 3417100000 3502527500 4378159375 5604044000 7005055000 8756318750 14010110000 17512637500 28020220000 35025275000 70050550000 140101100000