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142066025225432 = 237113159912419983
BaseRepresentation
bin100000010011010101010010…
…111101111101110011011000
3200122000101020120012100202222
4200103111102331331303120
5122110102204424203212
61222052121521443212
741631634353661550
oct4023252275756330
9618011216170688
10142066025225432
11412a295464a140
1213b254204a0508
1361369cba906a9
142712064928160
1511656e3b88c72
hex813552f7dcd8

142066025225432 has 128 divisors (see below), whose sum is σ = 343387717632000. Its totient is φ = 53475474499200.

The previous prime is 142066025225431. The next prime is 142066025225447. The reversal of 142066025225432 is 234522520660241.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142066025225431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5228513 + ... + 17648495.

It is an arithmetic number, because the mean of its divisors is an integer number (2682716544000).

Almost surely, 2142066025225432 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 142066025225432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171693858816000).

142066025225432 is an abundant number, since it is smaller than the sum of its proper divisors (201321692406568).

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

142066025225432 is a wasteful number, since it uses less digits than its factorization.

142066025225432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12420637 (or 12420633 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

Adding to 142066025225432 its reverse (234522520660241), we get a palindrome (376588545885673).

The spelling of 142066025225432 in words is "one hundred forty-two trillion, sixty-six billion, twenty-five million, two hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 434 599 616 682 868 1198 1364 1736 2387 2396 2728 4193 4774 4792 6589 8386 9548 13178 16772 18569 19096 26356 33544 37138 46123 52712 74276 92246 129983 148552 184492 204259 259966 368984 408518 519932 817036 1039864 1429813 1634072 2859626 5719252 11438504 12419983 24839966 49679932 86939881 99359864 136619813 173879762 273239626 347759524 385019473 546479252 695519048 770038946 956338691 1092958504 1540077892 1912677382 2695136311 3080155784 3825354764 4235214203 5390272622 7439569817 7650709528 8470428406 10780545244 14879139634 16940856812 21561090488 29646499421 29758279268 33881713624 52076988719 59292998842 59516558536 81835267987 104153977438 118585997684 163670535974 208307954876 230626664327 237171995368 327341071948 416615909752 461253328654 572846875909 654682143896 922506657308 1145693751818 1614386650289 1845013314616 2291387503636 2536893307597 3228773300578 4582775007272 5073786615194 6457546601156 10147573230388 12915093202312 17758253153179 20295146460776 35516506306358 71033012612716 142066025225432