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1417370434440 = 233570120838089
BaseRepresentation
bin10100101000000001110…
…111000111101110001000
312000111110222112021220120
4110220001313013232020
5141210233312400230
63003044143223240
7204254521624032
oct24500167075610
95014428467816
101417370434440
114a7115728834
121aa8425a7b20
13a387158954c
144c85b594c52
1526d0810a310
hex14a01dc7b88

1417370434440 has 128 divisors (see below), whose sum is σ = 4260748003200. Its totient is φ = 377198438400.

The previous prime is 1417370434439. The next prime is 1417370434453. The reversal of 1417370434440 is 444340737141.

It is a super-2 number, since 2×14173704344402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1417370434392 and 1417370434401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175217916 + ... + 175226004.

It is an arithmetic number, because the mean of its divisors is an integer number (33287093775).

Almost surely, 21417370434440 is an apocalyptic number.

1417370434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1417370434440 is an abundant number, since it is smaller than the sum of its proper divisors (2843377568760).

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

1417370434440 is a wasteful number, since it uses less digits than its factorization.

1417370434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10887 (or 10883 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 1417370434440 in words is "one trillion, four hundred seventeen billion, three hundred seventy million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 701 1402 2083 2103 2804 3505 4166 4206 5608 6249 7010 8089 8332 8412 10415 10515 12498 14020 16178 16664 16824 20830 21030 24267 24996 28040 31245 32356 40445 41660 42060 48534 49992 62490 64712 80890 83320 84120 97068 121335 124980 161780 194136 242670 249960 323560 485340 970680 1460183 2920366 4380549 5670389 5840732 7300915 8761098 11340778 11681464 14601830 16849387 17011167 17522196 21902745 22681556 28351945 29203660 33698774 34022334 35044392 43805490 45363112 50548161 56703890 58407320 67397548 68044668 84246935 85055835 87610980 101096322 113407780 134795096 136089336 168493870 170111670 175221960 202192644 226815560 252740805 336987740 340223340 404385288 505481610 673975480 680446680 1010963220 2021926440 11811420287 23622840574 35434260861 47245681148 59057101435 70868521722 94491362296 118114202870 141737043444 177171304305 236228405740 283474086888 354342608610 472456811480 708685217220 1417370434440