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1142475235440 = 2435711587105319
BaseRepresentation
bin10000101000000000110…
…101001010000001110000
311001012221001201021220220
4100220000311022001300
5122204242130013230
62232502413133040
7145353413162130
oct20500065120160
94035831637826
101142475235440
11400580539060
1216550478a180
13839728c8c96
143d4206baac0
151eab9920d10
hex10a00d4a070

1142475235440 has 320 divisors, whose sum is σ = 4423156899840. Its totient is φ = 236990776320.

The previous prime is 1142475235379. The next prime is 1142475235471. The reversal of 1142475235440 is 445325742411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1142475235392 and 1142475235401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10795101 + ... + 10900419.

It is an arithmetic number, because the mean of its divisors is an integer number (13822365312).

Almost surely, 21142475235440 is an apocalyptic number.

1142475235440 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 1142475235440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211578449920).

1142475235440 is an abundant number, since it is smaller than the sum of its proper divisors (3280681664400).

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

1142475235440 is a wasteful number, since it uses less digits than its factorization.

1142475235440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105940 (or 105934 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 1142475235440 in words is "one trillion, one hundred forty-two billion, four hundred seventy-five million, two hundred thirty-five thousand, four hundred forty".