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1414072703120 = 245711534331269
BaseRepresentation
bin10100100100111101010…
…011010001100010010000
312000011222011021011222112
4110210331103101202100
5141132010102444440
63001341021324452
7204110016441020
oct24447523214220
95004864234875
101414072703120
114a57831a3450
121aa082106728
13a34672bca3c
144c627609a80
1526bb3854965
hex1493d4d1890

1414072703120 has 160 divisors (see below), whose sum is σ = 4176314484480. Its totient is φ = 432433797120.

The previous prime is 1414072703119. The next prime is 1414072703123. The reversal of 1414072703120 is 213072704141.

It is not an unprimeable number, because it can be changed into a prime (1414072703123) by changing a digit.

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, 1839155 + ... + 2492114.

It is an arithmetic number, because the mean of its divisors is an integer number (26101965528).

Almost surely, 21414072703120 is an apocalyptic number.

1414072703120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414072703120 is an abundant number, since it is smaller than the sum of its proper divisors (2762241781360).

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

1414072703120 is a wasteful number, since it uses less digits than its factorization.

1414072703120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331353 (or 4331347 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 1414072703120 in words is "one trillion, four hundred fourteen billion, seventy-two million, seven hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 53 55 56 70 77 80 88 106 110 112 140 154 176 212 220 265 280 308 371 385 424 440 530 560 583 616 742 770 848 880 1060 1166 1232 1484 1540 1855 2120 2332 2915 2968 3080 3710 4081 4240 4664 5830 5936 6160 7420 8162 9328 11660 14840 16324 20405 23320 29680 32648 40810 46640 65296 81620 163240 326480 4331269 8662538 17325076 21656345 30318883 34650152 43312690 47643959 60637766 69300304 86625380 95287918 121275532 151594415 173250760 190575836 229557257 238219795 242551064 303188830 333507713 346501520 381151672 459114514 476439590 485102128 606377660 667015426 762303344 918229028 952879180 1147786285 1212755320 1334030852 1606900799 1667538565 1836458056 1905758360 2295572570 2425510640 2525129827 2668061704 3213801598 3335077130 3672916112 3811516720 4591145140 5050259654 5336123408 6427603196 6670154260 8034503995 9182290280 10100519308 12625649135 12855206392 13340308520 16069007990 17675908789 18364580560 20201038616 25251298270 25710412784 26680617040 32138015980 35351817578 40402077232 50502596540 64276031960 70703635156 88379543945 101005193080 128552063920 141407270312 176759087890 202010386160 282814540624 353518175780 707036351560 1414072703120