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1023353400440 = 235723315685981
BaseRepresentation
bin11101110010001001001…
…11011010110001111000
310121211110020222002100002
432321010213122301320
5113231311432303230
62102042210532132
7133635436244420
oct16710447326170
93554406862302
101023353400440
11365002352338
121463bab97048
137566a631897
143775dc49480
151b946ad2545
hexee449dac78

1023353400440 has 64 divisors (see below), whose sum is σ = 2642774247360. Its totient is φ = 349358146560.

The previous prime is 1023353400373. The next prime is 1023353400499. The reversal of 1023353400440 is 440043533201.

It is a super-2 number, since 2×10233534004402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7777751 + ... + 7908230.

It is an arithmetic number, because the mean of its divisors is an integer number (41293347615).

Almost surely, 21023353400440 is an apocalyptic number.

1023353400440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023353400440 is an abundant number, since it is smaller than the sum of its proper divisors (1619420846920).

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

1023353400440 is a wasteful number, since it uses less digits than its factorization.

1023353400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15686232 (or 15686228 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 1023353400440 its reverse (440043533201), we get a palindrome (1463396933641).

The spelling of 1023353400440 in words is "one trillion, twenty-three billion, three hundred fifty-three million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 233 280 466 932 1165 1631 1864 2330 3262 4660 6524 8155 9320 13048 16310 32620 65240 15685981 31371962 62743924 78429905 109801867 125487848 156859810 219603734 313719620 439207468 549009335 627439240 878414936 1098018670 2196037340 3654833573 4392074680 7309667146 14619334292 18274167865 25583835011 29238668584 36548335730 51167670022 73096671460 102335340044 127919175055 146193342920 204670680088 255838350110 511676700220 1023353400440