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142434324043312 = 24789101949714897
BaseRepresentation
bin100000011000101100010011…
…010010011101011000110000
3200200022120212221101211020111
4200120230103102131120300
5122132120443423341222
61222533231455351104
742000353221166230
oct4030542322353060
9620276787354214
10142434324043312
114142506a738174
1213b84886b22494
1361626647652b2
142725c0276dcc0
15117009c41e777
hex818b1349d630

142434324043312 has 160 divisors (see below), whose sum is σ = 322147301074560. Its totient is φ = 59749500518400.

The previous prime is 142434324043309. The next prime is 142434324043327. The reversal of 142434324043312 is 213340423434241.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9561268248 + ... + 9561283144.

It is an arithmetic number, because the mean of its divisors is an integer number (2013420631716).

Almost surely, 2142434324043312 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 142434324043312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161073650537280).

142434324043312 is an abundant number, since it is smaller than the sum of its proper divisors (179712977031248).

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

142434324043312 is a wasteful number, since it uses less digits than its factorization.

142434324043312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24599 (or 24593 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 142434324043312 its reverse (213340423434241), we get a palindrome (355774747477553).

The spelling of 142434324043312 in words is "one hundred forty-two trillion, four hundred thirty-four billion, three hundred twenty-four million, forty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 89 101 112 178 202 356 404 623 707 712 808 1246 1414 1424 1616 2492 2828 4984 5656 8989 9497 9968 11312 14897 17978 18994 29794 35956 37988 59588 62923 66479 71912 75976 104279 119176 125846 132958 143824 151952 208558 238352 251692 265916 417116 503384 531832 834232 845233 959197 1006768 1063664 1325833 1504597 1668464 1690466 1918394 2651666 3009194 3380932 3836788 5303332 5916631 6018388 6714379 6761864 7673576 9280831 10532179 10606664 11833262 12036776 13428758 13523728 15347152 18561662 21064358 21213328 23666524 24073552 26857516 37123324 42128716 47333048 53715032 74246648 84257432 85368533 94666096 107430064 133909133 141476809 148493296 168514864 170737066 267818266 282953618 341474132 535636532 565907236 597579731 682948264 937363931 990337663 1071273064 1131814472 1195159462 1365896528 1874727862 1980675326 2142546128 2263628944 2390318924 3749455724 3961350652 4780637848 7498911448 7922701304 9561275696 12591436001 14289157709 14997822896 15845402608 25182872002 28578315418 50365744004 57156630836 88140052007 100024103963 100731488008 114313261672 176280104014 200048207926 201462976016 228626523344 352560208028 400096415852 705120416056 800192831704 1271735036101 1410240832112 1600385663408 2543470072202 5086940144404 8902145252707 10173880288808 17804290505414 20347760577616 35608581010828 71217162021656 142434324043312