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442140522040 = 2357273242331
BaseRepresentation
bin1100110111100011010…
…00001111011000111000
31120021020112101200201101
412123301220033120320
524221000433201130
6535041101501144
743641440266600
oct6336150173070
91507215350641
10442140522040
11160568886318
1271833b717b4
1332902cc8a99
1417584b67c00
15b77b29e1ca
hex66f1a0f638

442140522040 has 144 divisors (see below), whose sum is σ = 1173332553480. Its totient is φ = 149510914560.

The previous prime is 442140522037. The next prime is 442140522073. The reversal of 442140522040 is 40225041244.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10423675 + ... + 10466005.

Almost surely, 2442140522040 is an apocalyptic number.

442140522040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442140522040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586666276740).

442140522040 is an abundant number, since it is smaller than the sum of its proper divisors (731192031440).

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

442140522040 is a wasteful number, since it uses less digits than its factorization.

442140522040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42502 (or 42418 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 442140522040 its reverse (40225041244), we get a palindrome (482365563284).

The spelling of 442140522040 in words is "four hundred forty-two billion, one hundred forty million, five hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 73 98 140 146 196 245 280 292 365 392 490 511 584 730 980 1022 1460 1960 2044 2555 2920 3577 4088 5110 5329 7154 10220 10658 14308 17885 20440 21316 26645 28616 35770 37303 42331 42632 53290 71540 74606 84662 106580 143080 149212 169324 186515 211655 213160 261121 296317 298424 338648 373030 423310 522242 592634 746060 846620 1044484 1185268 1305605 1481585 1492120 1693240 2074219 2088968 2370536 2611210 2963170 3090163 4148438 5222420 5926340 6180326 8296876 10371095 10444840 11852680 12360652 15450815 16593752 20742190 21631141 24721304 30901630 41484380 43262282 61803260 82968760 86524564 108155705 123606520 151417987 173049128 216311410 225581899 302835974 432622820 451163798 605671948 757089935 865245640 902327596 1127909495 1211343896 1514179870 1579073293 1804655192 2255818990 3028359740 3158146586 4511637980 6056719480 6316293172 7895366465 9023275960 11053513051 12632586344 15790732930 22107026102 31581465860 44214052204 55267565255 63162931720 88428104408 110535130510 221070261020 442140522040