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142204520436 = 2231119103550489
BaseRepresentation
bin1000010001110000001…
…1001100011111110100
3111121001110220010021020
42010130003030133310
54312213324123221
6145154452221140
713162650323406
oct2043403143764
9447043803236
10142204520436
1155343820a60
122368800a7b0
1310543517064
146c50324b76
153a74532ac6
hex211c0cc7f4

142204520436 has 96 divisors (see below), whose sum is σ = 384726451200. Its totient is φ = 40427838720.

The previous prime is 142204520411. The next prime is 142204520461. The reversal of 142204520436 is 634025402241.

It is an interprime number because it is at equal distance from previous prime (142204520411) and next prime (142204520461).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 142204520397 and 142204520406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16921 + ... + 533568.

It is an arithmetic number, because the mean of its divisors is an integer number (4007567200).

Almost surely, 2142204520436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142204520436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192363225600).

142204520436 is an abundant number, since it is smaller than the sum of its proper divisors (242521930764).

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

142204520436 is a wasteful number, since it uses less digits than its factorization.

142204520436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550629 (or 550627 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 142204520436 its reverse (634025402241), we get a palindrome (776229922677).

The spelling of 142204520436 in words is "one hundred forty-two billion, two hundred four million, five hundred twenty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 103 114 132 206 209 228 309 412 418 618 627 836 1133 1236 1254 1957 2266 2508 3399 3914 4532 5871 6798 7828 11742 13596 21527 23484 43054 64581 86108 129162 258324 550489 1100978 1651467 2201956 3302934 6055379 6605868 10459291 12110758 18166137 20918582 24221516 31377873 36332274 41837164 56700367 62755746 72664548 113400734 115052201 125511492 170101101 226801468 230104402 340202202 345156603 460208804 623704037 680404404 690313206 1077306973 1247408074 1380626412 1871112111 2154613946 2494816148 3231920919 3742224222 4309227892 6463841838 7484448444 11850376703 12927683676 23700753406 35551130109 47401506812 71102260218 142204520436