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40422434303312 = 24171571939715051
BaseRepresentation
bin10010011000011100101001…
…10101100110110101010000
312022010100100221121001220222
421030032110311212311100
520244240121140201222
6221545450541252212
711341265414265605
oct1114162465466520
9168110327531828
1040422434303312
1111975070398606
12464a17b564068
131972a85a19c99
149da655d926ac
154a1730e31542
hex24c394d66d50

40422434303312 has 160 divisors (see below), whose sum is σ = 83989041035904. Its totient is φ = 18780143616000.

The previous prime is 40422434303309. The next prime is 40422434303341. The reversal of 40422434303312 is 21330343422404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8002855187 + ... + 8002860237.

Almost surely, 240422434303312 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 40422434303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41994520517952).

40422434303312 is an abundant number, since it is smaller than the sum of its proper divisors (43566606732592).

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

40422434303312 is a wasteful number, since it uses less digits than its factorization.

40422434303312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6397 (or 6391 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 40422434303312 its reverse (21330343422404), we get a palindrome (61752777725716).

The spelling of 40422434303312 in words is "forty trillion, four hundred twenty-two billion, four hundred thirty-four million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 157 193 272 314 386 628 772 971 1256 1544 1942 2512 2669 3088 3281 3884 5051 5338 6562 7768 10102 10676 13124 15536 16507 20204 21352 26248 30301 33014 40408 42704 52496 60602 66028 80816 85867 121204 132056 152447 171734 187403 242408 264112 304894 343468 374806 484816 515117 609788 686936 749612 793007 974843 1030234 1219576 1373872 1499224 1586014 1949686 2060468 2439152 2591599 2998448 3172028 3185851 3899372 4120936 4904521 5183198 6344056 6371702 7798744 8241872 9809042 10366396 12688112 12743404 13481119 15597488 16572331 19618084 20732792 25486808 26962238 29422271 33144662 39236168 41465584 50973616 53924476 58844542 66289324 78472336 83376857 107848952 117689084 132578648 153050351 166753714 215697904 235378168 265157296 306100702 333507428 470756336 500178607 612201404 667014856 770009797 946572553 1000357214 1224402808 1334029712 1540019594 1893145106 2000714428 2448805616 2601855967 3080039188 3786290212 4001428856 5203711934 6160078376 7572580424 8002857712 10407423868 12320156752 13090166549 15145160848 16091733401 20814847736 26180333098 32183466802 41629695472 52360666196 64366933604 104721332392 128733867208 148611890821 209442664784 257467734416 297223781642 594447563284 1188895126568 2377790253136 2526402143957 5052804287914 10105608575828 20211217151656 40422434303312