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111441142000 = 24532910717957
BaseRepresentation
bin110011111001001101…
…0001110000011110000
3101122122112011120112201
41213302122032003300
53311212413021000
6123110110232544
711023421035426
oct1476232160360
9348575146481
10111441142000
114329768a461
12197214b5754
13a67cc51c56
145572765116
152d738b796a
hex19f268e0f0

111441142000 has 160 divisors (see below), whose sum is σ = 281377437120. Its totient is φ = 42634726400.

The previous prime is 111441141967. The next prime is 111441142027. The reversal of 111441142000 is 241144111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6197022 + ... + 6214978.

It is an arithmetic number, because the mean of its divisors is an integer number (1758608982).

Almost surely, 2111441142000 is an apocalyptic number.

111441142000 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 111441142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140688718560).

111441142000 is an abundant number, since it is smaller than the sum of its proper divisors (169936295120).

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

111441142000 is a wasteful number, since it uses less digits than its factorization.

111441142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18116 (or 18100 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 111441142000 its reverse (241144111), we get a palindrome (111682286111).

The spelling of 111441142000 in words is "one hundred eleven billion, four hundred forty-one million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 107 116 125 145 200 214 232 250 290 400 428 464 500 535 580 725 856 1000 1070 1160 1450 1712 2000 2140 2320 2675 2900 3103 3625 4280 5350 5800 6206 7250 8560 10700 11600 12412 13375 14500 15515 17957 21400 24824 26750 29000 31030 35914 42800 49648 53500 58000 62060 71828 77575 89785 107000 124120 143656 155150 179570 214000 248240 287312 310300 359140 387875 448925 520753 620600 718280 775750 897850 1041506 1241200 1436560 1551500 1795700 1921399 2083012 2244625 2603765 3103000 3591400 3842798 4166024 4489250 5207530 6206000 7182800 7685596 8332048 8978500 9606995 10415060 13018825 15371192 17957000 19213990 20830120 26037650 30742384 35914000 38427980 41660240 48034975 52075300 55720571 65094125 76855960 96069950 104150600 111441142 130188250 153711920 192139900 208301200 222882284 240174875 260376500 278602855 384279800 445764568 480349750 520753000 557205710 768559600 891529136 960699500 1041506000 1114411420 1393014275 1921399000 2228822840 2786028550 3842798000 4457645680 5572057100 6965071375 11144114200 13930142750 22288228400 27860285500 55720571000 111441142000