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141001134321300 = 2235211192248821919
BaseRepresentation
bin100000000011110101100010…
…100001100010111010010100
3200111020120120111002110101020
4200003311202201202322110
5121440130310341240200
61215515005450001140
741461665360435231
oct4003654241427224
9614216514073336
10141001134321300
1140a22277483560
1213992b6a7161b0
13608a4719b5a76
1426b66c4248788
151147b6a617ea0
hex803d62862e94

141001134321300 has 144 divisors (see below), whose sum is σ = 468474582374400. Its totient is φ = 32383035619200.

The previous prime is 141001134321277. The next prime is 141001134321353. The reversal of 141001134321300 is 3123431100141.

It is a happy number.

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, 1124348260 + ... + 1124473659.

Almost surely, 2141001134321300 is an apocalyptic number.

141001134321300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141001134321300 is an abundant number, since it is smaller than the sum of its proper divisors (327473448053100).

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

141001134321300 is a wasteful number, since it uses less digits than its factorization.

141001134321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248821966 (or 2248821959 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 141001134321300 its reverse (3123431100141), we get a palindrome (144124565421441).

The spelling of 141001134321300 in words is "one hundred forty-one trillion, one billion, one hundred thirty-four million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 25 30 33 38 44 50 55 57 60 66 75 76 95 100 110 114 132 150 165 190 209 220 228 275 285 300 330 380 418 475 550 570 627 660 825 836 950 1045 1100 1140 1254 1425 1650 1900 2090 2508 2850 3135 3300 4180 5225 5700 6270 10450 12540 15675 20900 31350 62700 2248821919 4497643838 6746465757 8995287676 11244109595 13492931514 22488219190 24737041109 26985863028 33732328785 42727616461 44976438380 49474082218 56220547975 67464657570 74211123327 85455232922 98948164436 112441095950 123685205545 128182849383 134929315140 148422246654 168661643925 170910465844 213638082305 224882191900 247370411090 256365698766 296844493308 337323287850 371055616635 427276164610 470003781071 494740822180 512731397532 618426027725 640914246915 674646575700 742111233270 854552329220 940007562142 1068190411525 1236852055450 1281828493830 1410011343213 1484222466540 1855278083175 1880015124284 2136380823050 2350018905355 2473704110900 2563656987660 2820022686426 3204571234575 3710556166350 4272761646100 4700037810710 5640045372852 6409142469150 7050056716065 7421112332700 9400075621420 11750094526775 12818284938300 14100113432130 23500189053550 28200226864260 35250283580325 47000378107100 70500567160650 141001134321300