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1400113000 = 235311139791
BaseRepresentation
bin101001101110100…
…0000011101101000
310121120120002222001
41103131000131220
510331412104000
6350533140344
746460523046
oct12335003550
93546502861
101400113000
11659366690
12330a8a6b4
131940bb040
14d3d41396
1582db846a
hex53740768

1400113000 has 128 divisors (see below), whose sum is σ = 3849431040. Its totient is φ = 469920000.

The previous prime is 1400112991. The next prime is 1400113007. The reversal of 1400113000 is 3110041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1400113007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138105 + ... + 147895.

It is an arithmetic number, because the mean of its divisors is an integer number (30073680).

Almost surely, 21400113000 is an apocalyptic number.

1400113000 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 1400113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924715520).

1400113000 is an abundant number, since it is smaller than the sum of its proper divisors (2449318040).

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

1400113000 is a wasteful number, since it uses less digits than its factorization.

1400113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9836 (or 9822 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1400113000 is about 37418.0838632873. The cubic root of 1400113000 is about 1118.7190393313.

Adding to 1400113000 its reverse (3110041), we get a palindrome (1403223041).

The spelling of 1400113000 in words is "one billion, four hundred million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 125 130 143 200 220 250 260 275 286 325 440 500 520 550 572 650 715 1000 1100 1144 1300 1375 1430 1625 2200 2600 2750 2860 3250 3575 5500 5720 6500 7150 9791 11000 13000 14300 17875 19582 28600 35750 39164 48955 71500 78328 97910 107701 127283 143000 195820 215402 244775 254566 391640 430804 489550 509132 538505 636415 861608 979100 1018264 1077010 1223875 1272830 1400113 1958200 2154020 2447750 2545660 2692525 2800226 3182075 4308040 4895500 5091320 5385050 5600452 6364150 7000565 9791000 10770100 11200904 12728300 13462625 14001130 15910375 21540200 25456600 26925250 28002260 31820750 35002825 53850500 56004520 63641500 70005650 107701000 127283000 140011300 175014125 280022600 350028250 700056500 1400113000