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142204431152 = 2472712699497
BaseRepresentation
bin1000010001110000001…
…0110110101100110000
3111121001110201120210102
42010130002312230300
54312213313244102
6145154450251532
713162646502200
oct2043402665460
9447043646712
10142204431152
115534376a973
1223687b86ba8
13105434b5524
146c50300400
153a74516402
hex211c0b6b30

142204431152 has 120 divisors (see below), whose sum is σ = 326260859040. Its totient is φ = 59856706560.

The previous prime is 142204431113. The next prime is 142204431157. The reversal of 142204431152 is 251134402241.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (142204431157) 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, 14968868 + ... + 14978364.

It is an arithmetic number, because the mean of its divisors is an integer number (2718840492).

Almost surely, 2142204431152 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 142204431152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163130429520).

142204431152 is an abundant number, since it is smaller than the sum of its proper divisors (184056427888).

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

142204431152 is a wasteful number, since it uses less digits than its factorization.

142204431152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9859 (or 9846 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 142204431152 its reverse (251134402241), we get a palindrome (393338833393).

The spelling of 142204431152 in words is "one hundred forty-two billion, two hundred four million, four hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 71 98 112 142 196 269 284 392 497 538 568 784 994 1076 1136 1883 1988 2152 3479 3766 3976 4304 6958 7532 7952 9497 13181 13916 15064 18994 19099 26362 27832 30128 37988 38198 52724 55664 66479 75976 76396 105448 132958 133693 151952 152792 210896 265916 267386 305584 465353 531832 534772 674287 930706 935851 1063664 1069544 1348574 1861412 1871702 2139088 2554693 2697148 3722824 3743404 4720009 5109386 5394296 7445648 7486808 9440018 10218772 10788592 14973616 17882851 18880036 20437544 33040063 35765702 37760072 40875088 66080126 71531404 75520144 125179957 132160252 143062808 181383203 250359914 264320504 286125616 362766406 500719828 528641008 725532812 1001439656 1269682421 1451065624 2002879312 2539364842 2902131248 5078729684 8887776947 10157459368 17775553894 20314918736 35551107788 71102215576 142204431152