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1354420340040 = 233541389707683
BaseRepresentation
bin10011101101011001101…
…111100100010101001000
311210110222212211011102210
4103231121233210111020
5134142323101340130
62514113452225120
7166565540636025
oct23553157442510
94713885734383
101354420340040
11482451a77129
1219a5b476b1a0
139a94b89c291
14497a8daa54c
15253718c05b0
hex13b59be4548

1354420340040 has 128 divisors (see below), whose sum is σ = 4173071011200. Its totient is φ = 351463188480.

The previous prime is 1354420340029. The next prime is 1354420340057. The reversal of 1354420340040 is 400430244531.

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

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, 1560039 + ... + 2267721.

It is an arithmetic number, because the mean of its divisors is an integer number (32602117275).

Almost surely, 21354420340040 is an apocalyptic number.

1354420340040 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 1354420340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086535505600).

1354420340040 is an abundant number, since it is smaller than the sum of its proper divisors (2818650671160).

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

1354420340040 is a wasteful number, since it uses less digits than its factorization.

1354420340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708127 (or 708123 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 1354420340040 its reverse (400430244531), we get a palindrome (1754850584571).

The spelling of 1354420340040 in words is "one trillion, three hundred fifty-four billion, four hundred twenty million, three hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 389 410 492 615 778 820 984 1167 1230 1556 1640 1945 2334 2460 3112 3890 4668 4920 5835 7780 9336 11670 15560 15949 23340 31898 46680 47847 63796 79745 95694 127592 159490 191388 239235 318980 382776 478470 637960 707683 956940 1415366 1913880 2123049 2830732 3538415 4246098 5661464 7076830 8492196 10615245 14153660 16984392 21230490 28307320 29015003 42460980 58030006 84921960 87045009 116060012 145075015 174090018 232120024 275288687 290150030 348180036 435225045 550577374 580300060 696360072 825866061 870450090 1101154748 1160600120 1376443435 1651732122 1740900180 2202309496 2752886870 3303464244 3481800360 4129330305 5505773740 6606928488 8258660610 11011547480 11286836167 16517321220 22573672334 33034642440 33860508501 45147344668 56434180835 67721017002 90294689336 112868361670 135442034004 169302542505 225736723340 270884068008 338605085010 451473446680 677210170020 1354420340040