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1114412040240 = 24356197784753
BaseRepresentation
bin10000001101111000001…
…000100100000000110000
310221112111021212021020220
4100031320020210000300
5121224303440241430
62211542005333040
7143341112022402
oct20157010440060
93845437767226
101114412040240
1139a68a5a9154
1215bb92407180
138111c882b35
143bd1b59ab72
151dec5d75110
hex10378224030

1114412040240 has 160 divisors (see below), whose sum is σ = 3547514986176. Its totient is φ = 289290977280.

The previous prime is 1114412040227. The next prime is 1114412040271. The reversal of 1114412040240 is 420402144111.

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 1114412040240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1027704 + ... + 1812456.

Almost surely, 21114412040240 is an apocalyptic number.

1114412040240 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 1114412040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773757493088).

1114412040240 is an abundant number, since it is smaller than the sum of its proper divisors (2433102945936).

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

1114412040240 is a wasteful number, since it uses less digits than its factorization.

1114412040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784927 (or 784921 counting only the distinct ones).

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

Adding to 1114412040240 its reverse (420402144111), we get a palindrome (1534814184351).

The spelling of 1114412040240 in words is "one trillion, one hundred fourteen billion, four hundred twelve million, forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 97 120 122 183 194 240 244 291 305 366 388 485 488 582 610 732 776 915 970 976 1164 1220 1455 1464 1552 1830 1940 2328 2440 2910 2928 3660 3880 4656 4880 5820 5917 7320 7760 11640 11834 14640 17751 23280 23668 29585 35502 47336 59170 71004 88755 94672 118340 142008 177510 236680 284016 355020 473360 710040 784753 1420080 1569506 2354259 3139012 3923765 4708518 6278024 7847530 9417036 11771295 12556048 15695060 18834072 23542590 31390120 37668144 47085180 47869933 62780240 76121041 94170360 95739866 143609799 152242082 188340720 191479732 228363123 239349665 287219598 304484164 380605205 382959464 456726246 478699330 574439196 608968328 718048995 761210410 765918928 913452492 957398660 1141815615 1148878392 1217936656 1436097990 1522420820 1826904984 1914797320 2283631230 2297756784 2872195980 3044841640 3653809968 3829594640 4567262460 4643383501 5744391960 6089683280 9134524920 9286767002 11488783920 13930150503 18269049840 18573534004 23216917505 27860301006 37147068008 46433835010 55720602012 69650752515 74294136016 92867670020 111441204024 139301505030 185735340040 222882408048 278603010060 371470680080 557206020120 1114412040240