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40235021342016 = 2631371681190989
BaseRepresentation
bin10010010010111111100100…
…01001111001010101000000
312021110102121211001012111020
421021133302021321111000
520233202310430421031
6221323414051145440
711321612223352464
oct1111376211712500
9167412554035436
1040235021342016
1111902638693936
1246199972a5280
13195b1b9370807
149d15578604a4
1549b912a3a096
hex2497f2279540

40235021342016 has 112 divisors (see below), whose sum is σ = 107239762883520. Its totient is φ = 13312840069120.

The previous prime is 40235021341997. The next prime is 40235021342039. The reversal of 40235021342016 is 61024312053204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442151050 + ... + 442242038.

Almost surely, 240235021342016 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 40235021342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53619881441760).

40235021342016 is an abundant number, since it is smaller than the sum of its proper divisors (67004741541504).

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

40235021342016 is a wasteful number, since it uses less digits than its factorization.

40235021342016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107952 (or 107942 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 40235021342016 in words is "forty trillion, two hundred thirty-five billion, twenty-one million, three hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 274 411 548 822 1096 1644 2192 3288 4384 6576 8768 13152 16811 26304 33622 50433 67244 90989 100866 134488 181978 201732 268976 272967 363956 403464 537952 545934 727912 806928 1075904 1091868 1455824 1613856 2183736 2303107 2911648 3227712 4367472 4606214 5823296 6909321 8734944 9212428 12465493 13818642 17469888 18424856 24930986 27637284 36849712 37396479 49861972 55274568 73699424 74792958 99723944 110549136 147398848 149585916 199447888 221098272 299171832 398895776 442196544 598343664 797791552 1196687328 1529616079 2393374656 3059232158 4588848237 6118464316 9177696474 12236928632 18355392948 24473857264 36710785896 48947714528 73421571792 97895429056 146843143584 209557402823 293686287168 419114805646 628672208469 838229611292 1257344416938 1676459222584 2514688833876 3352918445168 5029377667752 6705836890336 10058755335504 13411673780672 20117510671008 40235021342016