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1425478457040 = 2435112512151211
BaseRepresentation
bin10100101111100101001…
…000110001011011010000
312001021102001012111221220
4110233211020301123100
5141323334441111130
63010504502245040
7204662453651631
oct24574510613320
95037361174856
101425478457040
114aa5a6477160
121b0325a26780
13a45642c1961
144cdca33b888
152712ed42410
hex14be52316d0

1425478457040 has 160 divisors (see below), whose sum is σ = 4839917225472. Its totient is φ = 344193600000.

The previous prime is 1425478457027. The next prime is 1425478457041. The reversal of 1425478457040 is 407548745241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1425478457041) 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 31 ways as a sum of consecutive naturals, for example, 412966 + ... + 1738245.

Almost surely, 21425478457040 is an apocalyptic number.

1425478457040 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 1425478457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419958612736).

1425478457040 is an abundant number, since it is smaller than the sum of its proper divisors (3414438768432).

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

1425478457040 is a wasteful number, since it uses less digits than its factorization.

1425478457040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151489 (or 2151483 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 51.

The spelling of 1425478457040 in words is "one trillion, four hundred twenty-five billion, four hundred seventy-eight million, four hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 251 264 330 440 502 528 660 753 880 1004 1255 1320 1506 2008 2510 2640 2761 3012 3765 4016 5020 5522 6024 7530 8283 10040 11044 12048 13805 15060 16566 20080 22088 27610 30120 33132 41415 44176 55220 60240 66264 82830 110440 132528 165660 220880 331320 662640 2151211 4302422 6453633 8604844 10756055 12907266 17209688 21512110 23663321 25814532 32268165 34419376 43024220 47326642 51629064 64536330 70989963 86048440 94653284 103258128 118316605 129072660 141979926 172096880 189306568 236633210 258145320 283959852 354949815 378613136 473266420 516290640 539953961 567919704 709899630 946532840 1079907922 1135839408 1419799260 1619861883 1893065680 2159815844 2699769805 2839598520 3239723766 4319631688 5399539610 5679197040 5939493571 6479447532 8099309415 8639263376 10799079220 11878987142 12958895064 16198618830 17818480713 21598158440 23757974284 25917790128 29697467855 32397237660 35636961426 43196316880 47515948568 59394935710 64794475320 71273922852 89092403565 95031897136 118789871420 129588950640 142547845704 178184807130 237579742840 285095691408 356369614260 475159485680 712739228520 1425478457040