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142441011413200 = 24521699329963533
BaseRepresentation
bin100000011000110010100001…
…111000110000000011010000
3200200100020010222212102010201
4200120302201320300003100
5122132223142410210300
61222540255225104544
742001011022663363
oct4030624170600320
9620306128772121
10142441011413200
1141427991571145
1213b86032628154
13616318c06a6b6
14272627898a0da
15117033e58266a
hex818ca1e300d0

142441011413200 has 120 divisors (see below), whose sum is σ = 342525136140000. Its totient is φ = 56924712660480.

The previous prime is 142441011413167. The next prime is 142441011413209. The reversal of 142441011413200 is 2314110144241.

It is a happy number.

It is a super-2 number, since 2×1424410114132002 (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 (142441011413209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2241968634 + ... + 2242032166.

It is an arithmetic number, because the mean of its divisors is an integer number (2854376134500).

Almost surely, 2142441011413200 is an apocalyptic number.

142441011413200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142441011413200 is an abundant number, since it is smaller than the sum of its proper divisors (200084124726800).

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

142441011413200 is a wasteful number, since it uses less digits than its factorization.

142441011413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68549 (or 68538 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 142441011413200 its reverse (2314110144241), we get a palindrome (144755121557441).

The spelling of 142441011413200 in words is "one hundred forty-two trillion, four hundred forty-one billion, eleven million, four hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1699 3299 3398 6598 6796 8495 13196 13592 16495 16990 26392 27184 32990 33980 42475 52784 63533 65980 67960 82475 84950 127066 131960 135920 164950 169900 254132 263920 317665 329900 339800 508264 635330 659800 679600 1016528 1270660 1319600 1588325 2541320 3176650 5082640 5605001 6353300 11210002 12706600 22420004 25413200 28025005 44840008 56050010 89680016 107942567 112100020 140125025 209595367 215885134 224200040 280250050 419190734 431770268 448400080 539712835 560500100 838381468 863540536 1047976835 1079425670 1121000200 1676762936 1727081072 2095953670 2158851340 2242000400 2698564175 3353525872 4191907340 4317702680 5239884175 5397128350 8383814680 8635405360 10479768350 10794256700 16767629360 20959536700 21588513400 41919073400 43177026800 83838146800 356102528533 712205057066 1424410114132 1780512642665 2848820228264 3561025285330 5697640456528 7122050570660 8902563213325 14244101141320 17805126426650 28488202282640 35610252853300 71220505706600 142441011413200