Search a number
-
+
141105154502100 = 223525335527249797
BaseRepresentation
bin100000000101010110011010…
…100111000010110111010100
3200111121112001211102010221010
4200011112122213002313110
5121443331324023031400
61220034451343252220
741502340161411405
oct4005263247026724
9614545054363833
10141105154502100
1140a623a6126a28
12139ab15a8aa070
13609720b3616c9
1426bb7511939ac
15114a707762450
hex80559a9c2dd4

141105154502100 has 144 divisors (see below), whose sum is σ = 415980719779968. Its totient is φ = 36916891215360.

The previous prime is 141105154502087. The next prime is 141105154502111. The reversal of 141105154502100 is 1205451501141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564754402 + ... + 565004198.

It is an arithmetic number, because the mean of its divisors is an integer number (2888754998472).

Almost surely, 2141105154502100 is an apocalyptic number.

141105154502100 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 141105154502100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207990359889984).

141105154502100 is an abundant number, since it is smaller than the sum of its proper divisors (274875565277868).

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

141105154502100 is a wasteful number, since it uses less digits than its factorization.

141105154502100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285394 (or 285387 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 30.

The spelling of 141105154502100 in words is "one hundred forty-one trillion, one hundred five billion, one hundred fifty-four million, five hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2650 3180 3975 5300 7950 15900 35527 71054 106581 142108 177635 213162 249797 355270 426324 499594 532905 710540 749391 888175 999188 1065810 1248985 1498782 1776350 1882931 2131620 2497970 2664525 2997564 3552700 3746955 3765862 4995940 5329050 5648793 6244925 7493910 7531724 9414655 10658100 11297586 12489850 13239241 14987820 18734775 18829310 22595172 24979700 26478482 28243965 37469550 37658620 39717723 47073275 52956964 56487930 66196205 74939100 79435446 94146550 112975860 132392410 141219825 158870892 188293100 198588615 264784820 282439650 330981025 397177230 564879300 661962050 794354460 992943075 1323924100 1985886150 3971772300 8874538019 17749076038 26623614057 35498152076 44372690095 53247228114 88745380190 106494456228 133118070285 177490760380 221863450475 266236140570 443726900950 470350515007 532472281140 665590351425 887453801900 940701030014 1331180702850 1411051545021 1881402060028 2351752575035 2662361405700 2822103090042 4703505150070 5644206180084 7055257725105 9407010300140 11758762875175 14110515450210 23517525750350 28221030900420 35276288625525 47035051500700 70552577251050 141105154502100