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14021401032240 = 2435717348243191
BaseRepresentation
bin1100110000001001110010…
…1000001011011000110000
31211122102200112202000221020
43030002130220023120300
53314211312131012430
645453202005255440
72645004250206420
oct314023450133060
954572615660836
1014021401032240
114516496388998
1216a5536a04580
137a929b97c134
143668d4854480
15194adeb64b10
hexcc09ca0b630

14021401032240 has 160 divisors (see below), whose sum is σ = 49962965308416. Its totient is φ = 3186366213120.

The previous prime is 14021401032229. The next prime is 14021401032263. The reversal of 14021401032240 is 4223010412041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14021401032240.

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 31 ways as a sum of consecutive naturals, for example, 23830956 + ... + 24412235.

Almost surely, 214021401032240 is an apocalyptic number.

14021401032240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14021401032240 is an abundant number, since it is smaller than the sum of its proper divisors (35941564276176).

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

14021401032240 is a wasteful number, since it uses less digits than its factorization.

14021401032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48243387 (or 48243381 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14021401032240 its reverse (4223010412041), we get a palindrome (18244411444281).

The spelling of 14021401032240 in words is "fourteen trillion, twenty-one billion, four hundred one million, thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 173 210 240 280 336 346 420 519 560 692 840 865 1038 1211 1384 1680 1730 2076 2422 2595 2768 3460 3633 4152 4844 5190 6055 6920 7266 8304 9688 10380 12110 13840 14532 18165 19376 20760 24220 29064 36330 41520 48440 58128 72660 96880 145320 290640 48243191 96486382 144729573 192972764 241215955 289459146 337702337 385945528 482431910 578918292 675404674 723647865 771891056 964863820 1013107011 1157836584 1350809348 1447295730 1688511685 1929727640 2026214022 2315673168 2701618696 2894591460 3377023370 3859455280 4052428044 5065535055 5403237392 5789182920 6754046740 8104856088 8346072043 10131070110 11578365840 13508093480 16209712176 16692144086 20262140220 25038216129 27016186960 33384288172 40524280440 41730360215 50076432258 58422504301 66768576344 81048560880 83460720430 100152864516 116845008602 125191080645 133537152688 166921440860 175267512903 200305729032 233690017204 250382161290 292112521505 333842881720 350535025806 400611458064 467380034408 500764322580 584225043010 667685763440 701070051612 876337564515 934760068816 1001528645160 1168450086020 1402140103224 1752675129030 2003057290320 2336900172040 2804280206448 3505350258060 4673800344080 7010700516120 14021401032240