Search a number
-
+
1014424440 = 233519223417
BaseRepresentation
bin111100011101101…
…110001101111000
32121200211002201120
4330131232031320
54034143040230
6244354345240
734065315441
oct7435561570
92550732646
101014424440
11480686107
1224388b220
1313221a863
1498a242c8
155e0d0310
hex3c76e378

1014424440 has 96 divisors (see below), whose sum is σ = 3212012880. Its totient is φ = 256264704.

The previous prime is 1014424427. The next prime is 1014424441. The reversal of 1014424440 is 444244101.

It is a happy number.

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 1014424440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014424441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31612 + ... + 55028.

Almost surely, 21014424440 is an apocalyptic number.

1014424440 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 1014424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606006440).

1014424440 is an abundant number, since it is smaller than the sum of its proper divisors (2197588440).

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

1014424440 is a wasteful number, since it uses less digits than its factorization.

1014424440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23469 (or 23446 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1014424440 is about 31850.0304552445. The cubic root of 1014424440 is about 1004.7852118895.

Adding to 1014424440 its reverse (444244101), we get a palindrome (1458668541).

The spelling of 1014424440 in words is "one billion, fourteen million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 361 380 456 570 722 760 1083 1140 1444 1805 2166 2280 2888 3610 4332 5415 7220 8664 10830 14440 21660 23417 43320 46834 70251 93668 117085 140502 187336 234170 281004 351255 444923 468340 562008 702510 889846 936680 1334769 1405020 1779692 2224615 2669538 2810040 3559384 4449230 5339076 6673845 8453537 8898460 10678152 13347690 16907074 17796920 25360611 26695380 33814148 42267685 50721222 53390760 67628296 84535370 101442444 126803055 169070740 202884888 253606110 338141480 507212220 1014424440