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442010321430 = 235731392635521
BaseRepresentation
bin1100110111010011101…
…11100100001000010110
31120020220110101211001120
412123221313210020112
524220214120241210
6535020131104410
743635266512146
oct6335167441026
91506813354046
10442010321430
11160501337707
12717b8442106
13328b203cbc2
1417571754926
15b76eb31270
hex66e9de4216

442010321430 has 128 divisors (see below), whose sum is σ = 1087408143360. Its totient is φ = 114958725120.

The previous prime is 442010321429. The next prime is 442010321453. The reversal of 442010321430 is 34123010244.

It is a self number, because there is not a number n which added to its sum of digits gives 442010321430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80057070 + ... + 80062590.

It is an arithmetic number, because the mean of its divisors is an integer number (8495376120).

Almost surely, 2442010321430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442010321430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543704071680).

442010321430 is an abundant number, since it is smaller than the sum of its proper divisors (645397821930).

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

442010321430 is a wasteful number, since it uses less digits than its factorization.

442010321430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6006.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 442010321430 its reverse (34123010244), we get a palindrome (476133331674).

The spelling of 442010321430 in words is "four hundred forty-two billion, ten million, three hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 139 146 219 263 278 365 417 438 526 695 730 789 834 1095 1315 1390 1578 2085 2190 2630 3945 4170 5521 7890 10147 11042 16563 19199 20294 27605 30441 33126 36557 38398 50735 55210 57597 60882 73114 82815 95995 101470 109671 115194 152205 165630 182785 191990 219342 287985 304410 365570 403033 548355 575970 767419 806066 1096710 1209099 1452023 1534838 2015165 2302257 2418198 2668661 2904046 3837095 4030330 4356069 4604514 5337322 6045495 7260115 7674190 8005983 8712138 11511285 12090990 13343305 14520230 16011966 21780345 23022570 26686610 40029915 43560690 56021587 80059830 105997679 112043174 168064761 201831197 211995358 280107935 317993037 336129522 403662394 529988395 560215870 605493591 635986074 840323805 1009155985 1059976790 1210987182 1589965185 1680647610 2018311970 3027467955 3179930370 6054935910 14733677381 29467354762 44201032143 73668386905 88402064286 147336773810 221005160715 442010321430