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1402032401040 = 2435232333108869
BaseRepresentation
bin10100011001101111101…
…001001010101010010000
311222000220001022110120110
4110121233221022222100
5140432330243313130
62552030152041320
7203202445530345
oct24315751125220
94860801273513
101402032401040
114a0664815277
121a7881993240
13a22989b703b
144bc044da7cc
152670b7c2ab0
hex1466fa4aa90

1402032401040 has 160 divisors (see below), whose sum is σ = 4537255668480. Its totient is φ = 357463287808.

The previous prime is 1402032400997. The next prime is 1402032401041. The reversal of 1402032401040 is 401042302041.

It is a junction number, because it is equal to n+sod(n) for n = 1402032400998 and 1402032401016.

It is not an unprimeable number, because it can be changed into a prime (1402032401041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12823726 + ... + 12932594.

It is an arithmetic number, because the mean of its divisors is an integer number (28357847928).

Almost surely, 21402032401040 is an apocalyptic number.

1402032401040 is a gapful number since it is divisible by the number (10) 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 1402032401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268627834240).

1402032401040 is an abundant number, since it is smaller than the sum of its proper divisors (3135223267440).

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

1402032401040 is a wasteful number, since it uses less digits than its factorization.

1402032401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111241 (or 111235 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 1402032401040 its reverse (401042302041), we get a palindrome (1803074703081).

The spelling of 1402032401040 in words is "one trillion, four hundred two billion, thirty-two million, four hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2333 2760 4666 5520 6999 9332 11665 13998 18664 23330 27996 34995 37328 46660 53659 55992 69990 93320 107318 108869 111984 139980 160977 186640 214636 217738 268295 279960 321954 326607 429272 435476 536590 544345 559920 643908 653214 804885 858544 870952 1073180 1088690 1287816 1306428 1609770 1633035 1741904 2146360 2177380 2503987 2575632 2612856 3219540 3266070 4292720 4354760 5007974 5225712 6439080 6532140 7511961 8709520 10015948 12519935 12878160 13064280 15023922 20031896 25039870 26128560 30047844 37559805 40063792 50079740 60095688 75119610 100159480 120191376 150239220 200318960 253991377 300478440 507982754 600956880 761974131 1015965508 1269956885 1523948262 2031931016 2539913770 3047896524 3809870655 4063862032 5079827540 5841801671 6095793048 7619741310 10159655080 11683603342 12191586096 15239482620 17525405013 20319310160 23367206684 29209008355 30478965240 35050810026 46734413368 58418016710 60957930480 70101620052 87627025065 93468826736 116836033420 140203240104 175254050130 233672066840 280406480208 350508100260 467344133680 701016200520 1402032401040