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141442124232 = 233191316593593
BaseRepresentation
bin1000001110111010011…
…0111000100111001000
3111112002100022101021210
42003232212320213020
54304133140433412
6144551055333120
713135032135063
oct2035646704710
9445070271253
10141442124232
1154a92434452
12234b48211a0
131045159c146
146bbad878da
153a2c63783c
hex20ee9b89c8

141442124232 has 128 divisors (see below), whose sum is σ = 375731136000. Its totient is φ = 44245393920.

The previous prime is 141442124207. The next prime is 141442124279. The reversal of 141442124232 is 232421244141.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 141442124232.

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, 39364228 + ... + 39367820.

It is an arithmetic number, because the mean of its divisors is an integer number (2935399500).

Almost surely, 2141442124232 is an apocalyptic number.

141442124232 is a gapful number since it is divisible by the number (12) 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 141442124232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187865568000).

141442124232 is an abundant number, since it is smaller than the sum of its proper divisors (234289011768).

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

141442124232 is a wasteful number, since it uses less digits than its factorization.

141442124232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4411 (or 4407 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 141442124232 its reverse (232421244141), we get a palindrome (373863368373).

The spelling of 141442124232 in words is "one hundred forty-one billion, four hundred forty-two million, one hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 131 152 228 262 393 456 524 659 786 1048 1318 1572 1977 2489 2636 3144 3593 3954 4978 5272 7186 7467 7908 9956 10779 12521 14372 14934 15816 19912 21558 25042 28744 29868 37563 43116 50084 59736 68267 75126 86232 86329 100168 136534 150252 172658 204801 258987 273068 300504 345316 409602 470683 517974 546136 690632 819204 941366 1035948 1412049 1638408 1640251 1882732 2071896 2367787 2824098 3280502 3765464 4735574 4920753 5648196 6561004 7103361 8942977 9471148 9841506 11296392 13122008 14206722 17885954 18942296 19683012 26828931 28413444 35771908 39366024 44987953 53657862 56826888 71543816 89975906 107315724 134963859 179951812 214631448 269927718 310180097 359903624 539855436 620360194 930540291 1079710872 1240720388 1861080582 2481440776 3722161164 5893421843 7444322328 11786843686 17680265529 23573687372 35360531058 47147374744 70721062116 141442124232