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141433223100 = 2235213223162623
BaseRepresentation
bin1000001110111000010…
…0111011011110111100
3111112001201120011020020
42003232010323132330
54304123401114400
6144550140452140
713134563363211
oct2035604733674
9445051504206
10141433223100
1154a88404944
12234b184a050
131044c7a37c0
146bb9b0bb08
153a2b97a2a0
hex20ee13b7bc

141433223100 has 144 divisors (see below), whose sum is σ = 442670333952. Its totient is φ = 34658000640.

The previous prime is 141433223021. The next prime is 141433223101. The reversal of 141433223100 is 1322334141.

It is a happy number.

It is a super-2 number, since 2×1414332231002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141433223101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 788389 + ... + 951011.

Almost surely, 2141433223100 is an apocalyptic number.

141433223100 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 141433223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221335166976).

141433223100 is an abundant number, since it is smaller than the sum of its proper divisors (301237110852).

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

141433223100 is a wasteful number, since it uses less digits than its factorization.

141433223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162876 (or 162869 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 141433223100 its reverse (1322334141), we get a palindrome (142755557241).

The spelling of 141433223100 in words is "one hundred forty-one billion, four hundred thirty-three million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 223 260 300 325 390 446 650 669 780 892 975 1115 1300 1338 1950 2230 2676 2899 3345 3900 4460 5575 5798 6690 8697 11150 11596 13380 14495 16725 17394 22300 28990 33450 34788 43485 57980 66900 72475 86970 144950 162623 173940 217425 289900 325246 434850 487869 650492 813115 869700 975738 1626230 1951476 2114099 2439345 3252460 4065575 4228198 4878690 6342297 8131150 8456396 9757380 10570495 12196725 12684594 16262300 21140990 24393450 25369188 31711485 36264929 42281980 48786900 52852475 63422970 72529858 105704950 108794787 126845940 145059716 158557425 181324645 211409900 217589574 317114850 362649290 435179148 471444077 543973935 634229700 725298580 906623225 942888154 1087947870 1414332231 1813246450 1885776308 2175895740 2357220385 2719869675 2828664462 3626492900 4714440770 5439739350 5657328924 7071661155 9428881540 10879478700 11786101925 14143322310 23572203850 28286644620 35358305775 47144407700 70716611550 141433223100