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14192383050240 = 29351997261397
BaseRepresentation
bin1100111010000110101111…
…1100110100001000000000
31212020210000120120111111120
43032201223330310020000
53330012000030101430
650103520223312240
72663236324323003
oct316415374641000
955223016514446
1014192383050240
114581a5726778a
1217126b444b680
137bc44a1b8655
14370cb4ab753a
1519929a7dd610
hexce86bf34200

14192383050240 has 160 divisors (see below), whose sum is σ = 47759236873920. Its totient is φ = 3585444102144.

The previous prime is 14192383050229. The next prime is 14192383050247. The reversal of 14192383050240 is 4205038329141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 14192383050192 and 14192383050201.

It is not an unprimeable number, because it can be changed into a prime (14192383050247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48484779 + ... + 48776618.

It is an arithmetic number, because the mean of its divisors is an integer number (298495230462).

Almost surely, 214192383050240 is an apocalyptic number.

14192383050240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14192383050240 is an abundant number, since it is smaller than the sum of its proper divisors (33566853823680).

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

14192383050240 is an equidigital number, since it uses as much as digits as its factorization.

14192383050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97261442 (or 97261426 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 14192383050240 in words is "fourteen trillion, one hundred ninety-two billion, three hundred eighty-three million, fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 512 570 608 640 760 768 912 960 1140 1216 1280 1520 1536 1824 1920 2280 2432 2560 3040 3648 3840 4560 4864 6080 7296 7680 9120 9728 12160 14592 18240 24320 29184 36480 48640 72960 145920 97261397 194522794 291784191 389045588 486306985 583568382 778091176 972613970 1167136764 1458920955 1556182352 1847966543 1945227940 2334273528 2917841910 3112364704 3695933086 3890455880 4668547056 5543899629 5835683820 6224729408 7391866172 7780911760 9239832715 9337094112 11087799258 11671367640 12449458816 14783732344 15561823520 18479665430 18674188224 22175598516 23342735280 24898917632 27719498145 29567464688 31123647040 36959330860 37348376448 44351197032 46685470560 49797835264 55438996290 59134929376 62247294080 73918661720 74696752896 88702394064 93370941120 110877992580 118269858752 124494588160 147837323440 149393505792 177404788128 186741882240 221755985160 236539717504 248989176320 295674646880 354809576256 373483764480 443511970320 473079435008 591349293760 709619152512 746967528960 887023940640 946158870016 1182698587520 1419238305024 1774047881280 2365397175040 2838476610048 3548095762560 4730794350080 7096191525120 14192383050240