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1035655245240 = 23357116113913219
BaseRepresentation
bin11110001001000011101…
…11001110110110111000
310200000012121001112220120
433010201313032312320
5113432010220321430
62111435022053240
7134552334223230
oct17044167166670
93600177045816
101035655245240
1136a245428420
12148872a1a220
137687b18baa5
14381a999acc0
151be16ac8610
hexf121dcedb8

1035655245240 has 512 divisors, whose sum is σ = 3965746176000. Its totient is φ = 210134476800.

The previous prime is 1035655245223. The next prime is 1035655245263. The reversal of 1035655245240 is 425425565301.

It is a super-3 number, since 3×10356552452403 (a number of 37 digits) contains 333 as substring.

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 = 1035655245192 and 1035655245201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78339351 + ... + 78352569.

It is an arithmetic number, because the mean of its divisors is an integer number (7745598000).

Almost surely, 21035655245240 is an apocalyptic number.

1035655245240 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 1035655245240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982873088000).

1035655245240 is an abundant number, since it is smaller than the sum of its proper divisors (2930090930760).

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

1035655245240 is a wasteful number, since it uses less digits than its factorization.

1035655245240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13451 (or 13447 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 1035655245240 in words is "one trillion, thirty-five billion, six hundred fifty-five million, two hundred forty-five thousand, two hundred forty".