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40116971769616 = 247231272972
BaseRepresentation
bin10010001111100011101011…
…10110100000111100010000
312021001010220201221120200001
421013301311312200330100
520224234024233111431
6221153252111135344
711310232646505100
oct1107616566407420
9167033821846601
1040116971769616
111186756a797955
1245bab30814554
131950025294c21
149c995958b200
15498803e03e61
hex247c75da0f10

40116971769616 has 135 divisors (see below), whose sum is σ = 93440254240917. Its totient is φ = 16636095221760.

The previous prime is 40116971769559. The next prime is 40116971769643. The reversal of 40116971769616 is 61696717961104.

The square root of 40116971769616 is 6333796.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13640760355600 + 26476211414016 = 3693340^2 + 5145504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5497731280 + ... + 5497738576.

Almost surely, 240116971769616 is an apocalyptic number.

40116971769616 is the 6333796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40116971769616

40116971769616 is an abundant number, since it is smaller than the sum of its proper divisors (53323282471301).

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

40116971769616 is an frugal number, since it uses more digits than its factorization.

40116971769616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14678 (or 7337 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 64.

The spelling of 40116971769616 in words is "forty trillion, one hundred sixteen billion, nine hundred seventy-one million, seven hundred sixty-nine thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 496 784 868 961 1519 1736 1922 3038 3472 3844 6076 6727 7297 7688 12152 13454 14594 15376 24304 26908 29188 47089 51079 53816 58376 94178 102158 107632 116752 188356 204316 226207 357553 376712 408632 452414 715106 753424 817264 904828 1430212 1583449 1809656 2860424 3166898 3619312 5720848 6333796 7012417 11084143 12667592 14024834 22168286 25335184 28049668 44336572 49086919 53246209 56099336 88673144 98173838 106492418 112198672 177346288 196347676 212984836 343608433 372723463 392695352 425969672 687216866 745446926 785390704 851939344 1374433732 1490893852 1650632479 2609064241 2748867464 2981787704 3301264958 5218128482 5497734928 5963575408 6602529916 10436256964 11554427353 13205059832 20872513928 23108854706 26410119664 41745027856 46217709412 51169606849 80880991471 92435418824 102339213698 161761982942 184870837648 204678427396 323523965884 358187247943 409356854792 647047931768 716374495886 818713709584 1294095863536 1432748991772 2507310735601 2865497983544 5014621471202 5730995967088 10029242942404 20058485884808 40116971769616