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142414235352 = 23323185974279
BaseRepresentation
bin1000010010100010001…
…1001100011011011000
3111121121002111202001100
42010220203030123120
54313131021012402
6145231343151400
713201105012224
oct2045043143330
9447532452040
10142414235352
1155441139974
12237262a5560
1310577ac321c
146c70115784
153a87b5a71c
hex21288cc6d8

142414235352 has 96 divisors (see below), whose sum is σ = 398616192000. Its totient is φ = 45885977280.

The previous prime is 142414235351. The next prime is 142414235389. The reversal of 142414235352 is 253532414241.

It is a happy number.

142414235352 is a `hidden beast` number, since 1 + 4 + 2 + 414 + 235 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142414235351) 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, 1880149 + ... + 1954427.

It is an arithmetic number, because the mean of its divisors is an integer number (4152252000).

Almost surely, 2142414235352 is an apocalyptic number.

142414235352 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 142414235352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199308096000).

142414235352 is an abundant number, since it is smaller than the sum of its proper divisors (256201956648).

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

142414235352 is a wasteful number, since it uses less digits than its factorization.

142414235352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75181 (or 75174 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 142414235352 its reverse (253532414241), we get a palindrome (395946649593).

The spelling of 142414235352 in words is "one hundred forty-two billion, four hundred fourteen million, two hundred thirty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 859 1116 1718 2232 2577 3436 5154 6872 7731 10308 15462 20616 26629 30924 53258 61848 74279 79887 106516 148558 159774 213032 222837 239661 297116 319548 445674 479322 594232 639096 668511 891348 958644 1337022 1782696 1917288 2302649 2674044 4605298 5348088 6907947 9210596 13815894 18421192 20723841 27631788 41447682 55263576 63805661 82895364 127611322 165790728 191416983 255222644 382833966 510445288 574250949 765667932 1148501898 1531335864 1977975491 2297003796 3955950982 4594007592 5933926473 7911901964 11867852946 15823803928 17801779419 23735705892 35603558838 47471411784 71207117676 142414235352