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1214035033440 = 253519912709747
BaseRepresentation
bin10001101010101010001…
…000000111110101100000
311022001122012002200101210
4101222222020013311200
5124342320432032230
62325415304030120
7153465630342615
oct21525210076540
94261565080353
101214035033440
11428962143489
12177355a62340
138a638241918
1442a8c52050c
15218a6e3deb0
hex11aaa207d60

1214035033440 has 96 divisors (see below), whose sum is σ = 3843427795200. Its totient is φ = 322115802624.

The previous prime is 1214035033427. The next prime is 1214035033489. The reversal of 1214035033440 is 443305304121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1214035033398 and 1214035033407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6259354 + ... + 6450393.

It is an arithmetic number, because the mean of its divisors is an integer number (40035706200).

Almost surely, 21214035033440 is an apocalyptic number.

1214035033440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1214035033440 is an abundant number, since it is smaller than the sum of its proper divisors (2629392761760).

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

1214035033440 is a wasteful number, since it uses less digits than its factorization.

1214035033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12709964 (or 12709956 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 1214035033440 in words is "one trillion, two hundred fourteen billion, thirty-five million, thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 199 240 398 480 597 796 995 1194 1592 1990 2388 2985 3184 3980 4776 5970 6368 7960 9552 11940 15920 19104 23880 31840 47760 95520 12709747 25419494 38129241 50838988 63548735 76258482 101677976 127097470 152516964 190646205 203355952 254194940 305033928 381292410 406711904 508389880 610067856 762584820 1016779760 1220135712 1525169640 2033559520 2529239653 3050339280 5058479306 6100678560 7587718959 10116958612 12646198265 15175437918 20233917224 25292396530 30350875836 37938594795 40467834448 50584793060 60701751672 75877189590 80935668896 101169586120 121403503344 151754379180 202339172240 242807006688 303508758360 404678344480 607017516720 1214035033440