Search a number
-
+
140204441400 = 233522331002893
BaseRepresentation
bin1000001010010011010…
…1011111111100111000
3111101220002101120121220
42002210311133330320
54244114314111100
6144224203432040
713062253042242
oct2024465377470
9441802346556
10140204441400
115450782aa81
122320a225620
13102b5042a3a
146b00849092
1539a8b56aa0
hex20a4d5ff38

140204441400 has 96 divisors (see below), whose sum is σ = 436499584560. Its totient is φ = 37227351040.

The previous prime is 140204441393. The next prime is 140204441423. The reversal of 140204441400 is 4144402041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361647 + ... + 641246.

Almost surely, 2140204441400 is an apocalyptic number.

140204441400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140204441400 is an abundant number, since it is smaller than the sum of its proper divisors (296295143160).

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

140204441400 is a wasteful number, since it uses less digits than its factorization.

140204441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003145 (or 1003136 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 140204441400 its reverse (4144402041), we get a palindrome (144348843441).

The spelling of 140204441400 in words is "one hundred forty billion, two hundred four million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 233 300 466 600 699 932 1165 1398 1864 2330 2796 3495 4660 5592 5825 6990 9320 11650 13980 17475 23300 27960 34950 46600 69900 139800 1002893 2005786 3008679 4011572 5014465 6017358 8023144 10028930 12034716 15043395 20057860 24069432 25072325 30086790 40115720 50144650 60173580 75216975 100289300 120347160 150433950 200578600 233674069 300867900 467348138 601735800 701022207 934696276 1168370345 1402044414 1869392552 2336740690 2804088828 3505111035 4673481380 5608177656 5841851725 7010222070 9346962760 11683703450 14020444140 17525555175 23367406900 28040888280 35051110350 46734813800 70102220700 140204441400