Search a number
-
+
2240014151400 = 2335211173342307
BaseRepresentation
bin100000100110001011001…
…111110110111011101000
321221010212102211001000220
4200212023033312323220
5243200022110321100
64433014233130040
7320556432062424
oct40461317667350
97833772731026
102240014151400
11793a916561a3
12302168259920
1313330384c0bc
147a5bad83b84
153d4042d1aa0
hex2098b3f6ee8

2240014151400 has 96 divisors (see below), whose sum is σ = 6950262639840. Its totient is φ = 596802159360.

The previous prime is 2240014151383. The next prime is 2240014151411. The reversal of 2240014151400 is 41514100422.

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

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, 1000954 + ... + 2341353.

It is an arithmetic number, because the mean of its divisors is an integer number (72398569165).

Almost surely, 22240014151400 is an apocalyptic number.

2240014151400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240014151400 is an abundant number, since it is smaller than the sum of its proper divisors (4710248488440).

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

2240014151400 is a wasteful number, since it uses less digits than its factorization.

2240014151400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343443 (or 3343434 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 2240014151400 its reverse (41514100422), we get a palindrome (2281528251822).

The spelling of 2240014151400 in words is "two trillion, two hundred forty billion, fourteen million, one hundred fifty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1117 2234 3351 4468 5585 6702 8936 11170 13404 16755 22340 26808 27925 33510 44680 55850 67020 83775 111700 134040 167550 223400 335100 670200 3342307 6684614 10026921 13369228 16711535 20053842 26738456 33423070 40107684 50134605 66846140 80215368 83557675 100269210 133692280 167115350 200538420 250673025 334230700 401076840 501346050 668461400 1002692100 2005384200 3733356919 7466713838 11200070757 14933427676 18666784595 22400141514 29866855352 37333569190 44800283028 56000353785 74667138380 89600566056 93333922975 112000707570 149334276760 186667845950 224001415140 280001768925 373335691900 448002830280 560003537850 746671383800 1120007075700 2240014151400