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1013074445000 = 23542348718089
BaseRepresentation
bin11101011110111111111…
…00010100001011001000
310120211220220022001021202
432233133330110023020
5113044234024220000
62053222221123332
7133122633462332
oct16573774241310
93524826261252
101013074445000
11360708127a42
121444106b9548
13746bcc04327
1437066a30452
151b5444c0dd5
hexebdff142c8

1013074445000 has 160 divisors (see below), whose sum is σ = 2482057987200. Its totient is φ = 386793792000.

The previous prime is 1013074444999. The next prime is 1013074445011. The reversal of 1013074445000 is 5444703101.

It is a happy number.

It is a super-2 number, since 2×10130744450002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55995956 + ... + 56014044.

It is an arithmetic number, because the mean of its divisors is an integer number (15512862420).

Almost surely, 21013074445000 is an apocalyptic number.

1013074445000 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 1013074445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241028993600).

1013074445000 is an abundant number, since it is smaller than the sum of its proper divisors (1468983542200).

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

1013074445000 is a wasteful number, since it uses less digits than its factorization.

1013074445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18625 (or 18606 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 1013074445000 in words is "one trillion, thirteen billion, seventy-four million, four hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 487 500 575 625 920 974 1000 1150 1250 1948 2300 2435 2500 2875 3896 4600 4870 5000 5750 9740 11201 11500 12175 14375 18089 19480 22402 23000 24350 28750 36178 44804 48700 56005 57500 60875 72356 89608 90445 97400 112010 115000 121750 144712 180890 224020 243500 280025 304375 361780 416047 448040 452225 487000 560050 608750 723560 832094 904450 1120100 1217500 1400125 1664188 1808900 2080235 2240200 2261125 2435000 2800250 3328376 3617800 4160470 4522250 5600500 7000625 8320940 8809343 9044500 10401175 11201000 11305625 14001250 16641880 17618686 18089000 20802350 22611250 28002500 35237372 41604700 44046715 45222500 52005875 56005000 70474744 83209400 88093430 90445000 104011750 176186860 202614889 208023500 220233575 260029375 352373720 405229778 416047000 440467150 520058750 810459556 880934300 1013074445 1040117500 1101167875 1620919112 1761868600 2026148890 2080235000 2202335750 4052297780 4404671500 5065372225 5505839375 8104595560 8809343000 10130744450 11011678750 20261488900 22023357500 25326861125 40522977800 44046715000 50653722250 101307444500 126634305625 202614889000 253268611250 506537222500 1013074445000