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141142232220400 = 24521783919780009
BaseRepresentation
bin100000000101111000111100…
…100111010100001011110000
3200111202001202211200101120001
4200011320330213110023300
5121444433242422023100
61220103502451355344
741505122043000445
oct4005707447241360
9614661684611501
10141142232220400
1140a770a2577524
12139b6387bb2b54
13609a869b713a8
1426bd46b5c99cc
15114b677907d6a
hex805e3c9d42f0

141142232220400 has 60 divisors (see below), whose sum is σ = 339113238642400. Its totient is φ = 56453725232640.

The previous prime is 141142232220361. The next prime is 141142232220401. The reversal of 141142232220400 is 4022232241141.

It is a super-2 number, since 2×1411422322204002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141142232220401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2754405 + ... + 17025604.

Almost surely, 2141142232220400 is an apocalyptic number.

141142232220400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141142232220400 is an abundant number, since it is smaller than the sum of its proper divisors (197971006422000).

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

141142232220400 is a wasteful number, since it uses less digits than its factorization.

141142232220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19797866 (or 19797855 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 141142232220400 its reverse (4022232241141), we get a palindrome (145164464461541).

The spelling of 141142232220400 in words is "one hundred forty-one trillion, one hundred forty-two billion, two hundred thirty-two million, two hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 17839 35678 71356 89195 142712 178390 285424 356780 445975 713560 891950 1427120 1783900 3567800 7135600 19780009 39560018 79120036 98900045 158240072 197800090 316480144 395600180 494500225 791200360 989000450 1582400720 1978000900 3956001800 7912003600 352855580551 705711161102 1411422322204 1764277902755 2822844644408 3528555805510 5645689288816 7057111611020 8821389513775 14114223222040 17642779027550 28228446444080 35285558055100 70571116110200 141142232220400