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1350014555540 = 2257219647112061
BaseRepresentation
bin10011101001010011001…
…000110101010110010100
311210001121211120010022002
4103221103020311112110
5134104312211234130
62512104345054432
7166351422246200
oct23512310652624
94701554503262
101350014555540
114805a1027012
12199785187418
139a3c8b923c1
14494abbc7b00
15251b4be2b45
hex13a53235594

1350014555540 has 144 divisors (see below), whose sum is σ = 3476862506880. Its totient is φ = 437819316480.

The previous prime is 1350014555501. The next prime is 1350014555563. The reversal of 1350014555540 is 455554100531.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 1350014555494 and 1350014555503.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11991110 + ... + 12103170.

It is an arithmetic number, because the mean of its divisors is an integer number (24144878520).

Almost surely, 21350014555540 is an apocalyptic number.

1350014555540 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 1350014555540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738431253440).

1350014555540 is an abundant number, since it is smaller than the sum of its proper divisors (2126847951340).

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

1350014555540 is a wasteful number, since it uses less digits than its factorization.

1350014555540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112750 (or 112741 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 38.

The spelling of 1350014555540 in words is "one trillion, three hundred fifty billion, fourteen million, five hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 647 665 931 980 1294 1330 1862 2588 2660 3235 3724 4529 4655 6470 9058 9310 12293 12940 18116 18620 22645 24586 31703 45290 49172 61465 63406 86051 90580 112061 122930 126812 158515 172102 224122 245860 317030 344204 430255 448244 560305 602357 634060 784427 860510 1120610 1204714 1568854 1721020 2129159 2241220 2409428 3011785 3137708 3922135 4258318 5490989 6023570 7844270 8516636 10645795 10981978 12047140 14904113 15688540 21291590 21963956 27454945 29808226 42583180 54909890 59616452 72503467 74520565 104328791 109819780 145006934 149041130 208657582 290013868 298082260 362517335 417315164 507524269 521643955 725034670 1015048538 1043287910 1377565873 1450069340 2030097076 2086575820 2537621345 2755131746 3552669883 5075242690 5510263492 6887829365 7105339766 9642961111 10150485380 13775658730 14210679532 17763349415 19285922222 27551317460 35526698830 38571844444 48214805555 67500727777 71053397660 96429611110 135001455554 192859222220 270002911108 337503638885 675007277770 1350014555540