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40189832936760 = 233513109236355169
BaseRepresentation
bin10010010001101011011001…
…01101110011110100111000
312021022002222120002101000010
421020311230231303310320
520231432234212434020
6221250542050541520
711315422345300653
oct1110655455636470
9167262876071003
1040189832936760
1111895459a45171
1246110858978a0
131956b67404a90
149cd2ac18a89a
1549a66a7d2de0
hex248d6cb73d38

40189832936760 has 128 divisors (see below), whose sum is σ = 131035306248000. Its totient is φ = 9802121527296.

The previous prime is 40189832936749. The next prime is 40189832936761. The reversal of 40189832936760 is 6763923898104.

It is a junction number, because it is equal to n+sod(n) for n = 40189832936691 and 40189832936700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40189832936761) 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, 118007545 + ... + 118347624.

Almost surely, 240189832936760 is an apocalyptic number.

40189832936760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40189832936760 is an abundant number, since it is smaller than the sum of its proper divisors (90845473311240).

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

40189832936760 is a wasteful number, since it uses less digits than its factorization.

40189832936760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236355305 (or 236355301 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 40189832936760 in words is "forty trillion, one hundred eighty-nine billion, eight hundred thirty-two million, nine hundred thirty-six thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 109 120 130 156 195 218 260 312 327 390 436 520 545 654 780 872 1090 1308 1417 1560 1635 2180 2616 2834 3270 4251 4360 5668 6540 7085 8502 11336 13080 14170 17004 21255 28340 34008 42510 56680 85020 170040 236355169 472710338 709065507 945420676 1181775845 1418131014 1890841352 2363551690 2836262028 3072617197 3545327535 4727103380 5672524056 6145234394 7090655070 9217851591 9454206760 12290468788 14181310140 15363085985 18435703182 24580937576 25762713421 28362620280 30726171970 36871406364 46089257955 51525426842 61452343940 73742812728 77288140263 92178515910 103050853684 122904687880 128813567105 154576280526 184357031820 206101707368 257627134210 309152561052 334915274473 368714063640 386440701315 515254268420 618305122104 669830548946 772881402630 1004745823419 1030508536840 1339661097892 1545762805260 1674576372365 2009491646838 2679322195784 3091525610520 3349152744730 4018983293676 5023729117095 6698305489460 8037966587352 10047458234190 13396610978920 20094916468380 40189832936760