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14202012440 = 2357116916673
BaseRepresentation
bin11010011101000000…
…11000001100011000
31100122202120222112202
431032200120030120
5213041203344230
610305130225332
71011640054040
oct151640301430
940582528482
1014202012440
116028736170
122904285248
13145441c175
1498a260720
15581c38a45
hex34e818318

14202012440 has 128 divisors (see below), whose sum is σ = 39903045120. Its totient is φ = 4419532800.

The previous prime is 14202012421. The next prime is 14202012463. The reversal of 14202012440 is 4421020241.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2124944 + ... + 2131616.

It is an arithmetic number, because the mean of its divisors is an integer number (311742540).

Almost surely, 214202012440 is an apocalyptic number.

14202012440 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 14202012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19951522560).

14202012440 is an abundant number, since it is smaller than the sum of its proper divisors (25701032680).

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

14202012440 is a wasteful number, since it uses less digits than its factorization.

14202012440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7393 (or 7389 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 14202012440 its reverse (4421020241), we get a palindrome (18623032681).

The spelling of 14202012440 in words is "fourteen billion, two hundred two million, twelve thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 691 770 1382 1540 2764 3080 3455 4837 5528 6673 6910 7601 9674 13346 13820 15202 19348 24185 26692 27640 30404 33365 38005 38696 46711 48370 53207 53384 60808 66730 73403 76010 93422 96740 106414 133460 146806 152020 186844 193480 212828 233555 266035 266920 293612 304040 367015 373688 425656 467110 513821 532070 587224 734030 934220 1027642 1064140 1468060 1868440 2055284 2128280 2569105 2936120 4110568 4611043 5138210 9222086 10276420 18444172 20552840 23055215 32277301 36888344 46110430 50721473 64554602 92220860 101442946 129109204 161386505 184441720 202885892 253607365 258218408 322773010 355050311 405771784 507214730 645546020 710100622 1014429460 1291092040 1420201244 1775251555 2028858920 2840402488 3550503110 7101006220 14202012440