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14423240040 = 23351117961043
BaseRepresentation
bin11010110111011000…
…10010110101101000
31101020011212111202120
431123230102311220
5214014322140130
610343112031240
71020264342336
oct153354226550
941204774676
1014423240040
1161315a77a0
122966392520
13148b1c9581
149ab7aab56
15596387910
hex35bb12d68

14423240040 has 128 divisors (see below), whose sum is σ = 47467814400. Its totient is φ = 3476952320.

The previous prime is 14423240003. The next prime is 14423240059. The reversal of 14423240040 is 4004232441.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 205759 + ... + 266801.

It is an arithmetic number, because the mean of its divisors is an integer number (370842300).

Almost surely, 214423240040 is an apocalyptic number.

14423240040 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 14423240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23733907200).

14423240040 is an abundant number, since it is smaller than the sum of its proper divisors (33044574360).

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

14423240040 is a wasteful number, since it uses less digits than its factorization.

14423240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61247 (or 61243 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14423240040 its reverse (4004232441), we get a palindrome (18427472481).

The spelling of 14423240040 in words is "fourteen billion, four hundred twenty-three million, two hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 179 220 264 330 358 440 537 660 716 895 1074 1320 1432 1790 1969 2148 2685 3580 3938 4296 5370 5907 7160 7876 9845 10740 11814 15752 19690 21480 23628 29535 39380 47256 59070 61043 78760 118140 122086 183129 236280 244172 305215 366258 488344 610430 671473 732516 915645 1220860 1342946 1465032 1831290 2014419 2441720 2685892 3357365 3662580 4028838 5371784 6714730 7325160 8057676 10072095 10926697 13429460 16115352 20144190 21853394 26858920 32780091 40288380 43706788 54633485 65560182 80576760 87413576 109266970 120193667 131120364 163900455 218533940 240387334 262240728 327800910 360581001 437067880 480774668 600968335 655601820 721162002 961549336 1201936670 1311203640 1442324004 1802905005 2403873340 2884648008 3605810010 4807746680 7211620020 14423240040