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11201414002440 = 2335641145624207
BaseRepresentation
bin1010001100000000100001…
…0011010111011100001000
31110122211210210122010111120
42203000020103113130020
52432010443441034230
635453505240355240
72234163324022404
oct243001023273410
943584723563446
1011201414002440
113629547203072
12130aaaaa75b20
1363339a68525c
142aa219372104
15146593d3c310
hexa30084d7708

11201414002440 has 64 divisors (see below), whose sum is σ = 33656666952960. Its totient is φ = 2982383738880.

The previous prime is 11201414002417. The next prime is 11201414002481. The reversal of 11201414002440 is 4420041410211.

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 11201414002440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72735184 + ... + 72889023.

It is an arithmetic number, because the mean of its divisors is an integer number (525885421140).

Almost surely, 211201414002440 is an apocalyptic number.

11201414002440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201414002440 is an abundant number, since it is smaller than the sum of its proper divisors (22455252950520).

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

11201414002440 is a wasteful number, since it uses less digits than its factorization.

11201414002440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145624862 (or 145624858 counting only the distinct ones).

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

Adding to 11201414002440 its reverse (4420041410211), we get a palindrome (15621455412651).

The spelling of 11201414002440 in words is "eleven trillion, two hundred one billion, four hundred fourteen million, two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 641 1282 1923 2564 3205 3846 5128 6410 7692 9615 12820 15384 19230 25640 38460 76920 145624207 291248414 436872621 582496828 728121035 873745242 1164993656 1456242070 1747490484 2184363105 2912484140 3494980968 4368726210 5824968280 8737452420 17474904840 93345116687 186690233374 280035350061 373380466748 466725583435 560070700122 746760933496 933451166870 1120141400244 1400176750305 1866902333740 2240282800488 2800353500610 3733804667480 5600707001220 11201414002440