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100144000132140 = 22351987845614151
BaseRepresentation
bin10110110001010010010111…
…100011011110010000101100
3111010120200011112222011202010
4112301102113203132100230
5101111224403013212030
6552553304001201220
730044110452105336
oct2661222743362054
9433520145864663
10100144000132140
11299aa917364848
12b2946b3030210
1343b5700674823
141aa2dd17ca456
15b89e967906b0
hex5b14978de42c

100144000132140 has 48 divisors (see below), whose sum is σ = 295161263550720. Its totient is φ = 25299536875200.

The previous prime is 100144000132109. The next prime is 100144000132181. The reversal of 100144000132140 is 41231000441001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43922805936 + ... + 43922808215.

It is an arithmetic number, because the mean of its divisors is an integer number (6149192990640).

Almost surely, 2100144000132140 is an apocalyptic number.

100144000132140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100144000132140 is an abundant number, since it is smaller than the sum of its proper divisors (195017263418580).

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

100144000132140 is a wasteful number, since it uses less digits than its factorization.

100144000132140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87845614182 (or 87845614180 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 100144000132140 its reverse (41231000441001), we get a palindrome (141375000573141).

The spelling of 100144000132140 in words is "one hundred trillion, one hundred forty-four billion, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 87845614151 175691228302 263536842453 351382456604 439228070755 527073684906 878456141510 1054147369812 1317684212265 1669066668869 1756912283020 2635368424530 3338133337738 5007200006607 5270736849060 6676266675476 8345333344345 10014400013214 16690666688690 20028800026428 25036000033035 33381333377380 50072000066070 100144000132140