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1140010414440 = 2335112920034201
BaseRepresentation
bin10000100101101101111…
…010100111000101101000
311000222120021201102011020
4100211231322213011220
5122134220131230230
62231414043332440
7145235343432102
oct20455572470550
94028507642136
101140010414440
113aa526182607
12164b37221120
138366c065c11
143d2691c6572
151e9c3343810
hex1096dea7168

1140010414440 has 128 divisors (see below), whose sum is σ = 3425584694400. Its totient is φ = 303509606400.

The previous prime is 1140010414399. The next prime is 1140010414441. The reversal of 1140010414440 is 444140100411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1140010414440.

It is not an unprimeable number, because it can be changed into a prime (1140010414441) 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, 271364340 + ... + 271368540.

It is an arithmetic number, because the mean of its divisors is an integer number (26762380425).

Almost surely, 21140010414440 is an apocalyptic number.

1140010414440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140010414440 is an abundant number, since it is smaller than the sum of its proper divisors (2285574279960).

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

1140010414440 is a wasteful number, since it uses less digits than its factorization.

1140010414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7347 (or 7343 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1140010414440 its reverse (444140100411), we get a palindrome (1584150514851).

The spelling of 1140010414440 in words is "one trillion, one hundred forty billion, ten million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1129 2003 2258 3387 4006 4201 4516 5645 6009 6774 8012 8402 9032 10015 11290 12018 12603 13548 16024 16804 16935 20030 21005 22580 24036 25206 27096 30045 33608 33870 40060 42010 45160 48072 50412 60090 63015 67740 80120 84020 100824 120180 126030 135480 168040 240360 252060 504120 2261387 4522774 4742929 6784161 8414603 9045548 9485858 11306935 13568322 14228787 16829206 18091096 18971716 22613870 23714645 25243809 27136644 28457574 33658412 33920805 37943432 42073015 45227740 47429290 50487618 54273288 56915148 67316824 67841610 71143935 84146030 90455480 94858580 100975236 113830296 126219045 135683220 142287870 168292060 189717160 201950472 252438090 271366440 284575740 336584120 504876180 569151480 1009752360 9500086787 19000173574 28500260361 38000347148 47500433935 57000520722 76000694296 95000867870 114001041444 142501301805 190001735740 228002082888 285002603610 380003471480 570005207220 1140010414440