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1425155001140 = 2251361173519413
BaseRepresentation
bin10100101111010001110…
…110111000101100110100
312001020120111120020212202
4110233101312320230310
5141322204140014030
63010412425404032
7204651445430543
oct24572166705464
95036514506782
101425155001140
114aa44a931a32
121b0255639618
13a45122a0730
144cd993c015a
152711174d745
hex14bd1db8b34

1425155001140 has 96 divisors (see below), whose sum is σ = 3294821680416. Its totient is φ = 514591856640.

The previous prime is 1425155001089. The next prime is 1425155001169. The reversal of 1425155001140 is 411005515241.

It can be written as a sum of positive squares in 16 ways, for example, as 532216939024 + 892938062116 = 729532^2 + 944954^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2484074 + ... + 3003486.

It is an arithmetic number, because the mean of its divisors is an integer number (34321059171).

Almost surely, 21425155001140 is an apocalyptic number.

1425155001140 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 1425155001140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647410840208).

1425155001140 is an abundant number, since it is smaller than the sum of its proper divisors (1869666679276).

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

1425155001140 is a wasteful number, since it uses less digits than its factorization.

1425155001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519669 (or 519667 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 29.

The spelling of 1425155001140 in words is "one trillion, four hundred twenty-five billion, one hundred fifty-five million, one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 173 244 260 305 346 610 692 793 865 1220 1586 1730 2249 3172 3460 3965 4498 7930 8996 10553 11245 15860 21106 22490 42212 44980 52765 105530 137189 211060 274378 519413 548756 685945 1038826 1371890 2077652 2597065 2743780 5194130 6752369 10388260 13504738 27009476 31684193 33761845 63368386 67523690 89858449 126736772 135047380 158420965 179716898 316841930 359433796 411894509 449292245 633683860 823789018 898584490 1168159837 1647578036 1797168980 2059472545 2336319674 4118945090 4672639348 5481365389 5840799185 8237890180 10962730778 11681598370 21925461556 23363196740 27406826945 54813653890 71257750057 109627307780 142515500114 285031000228 356288750285 712577500570 1425155001140