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14012021333440 = 2651315112229169
BaseRepresentation
bin1100101111100110110110…
…0011011101110111000000
31211121112110212011222002101
43023321231203131313000
53314033104430132230
645445011142000144
72644222644115654
oct313715543356700
954545425158071
1014012021333440
1145125128283a9
1216a3759716054
137a8435647ac0
14366284c40a64
15194741484aca
hexcbe6d8dddc0

14012021333440 has 112 divisors (see below), whose sum is σ = 35956547766720. Its totient is φ = 5170243092480.

The previous prime is 14012021333351. The next prime is 14012021333467. The reversal of 14012021333440 is 4433312021041.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14012021333399 and 14012021333408.

It is a congruent number.

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, 5171176 + ... + 7400344.

It is an arithmetic number, because the mean of its divisors is an integer number (321040605060).

Almost surely, 214012021333440 is an apocalyptic number.

14012021333440 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 14012021333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17978273883360).

14012021333440 is an abundant number, since it is smaller than the sum of its proper divisors (21944526433280).

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

14012021333440 is a wasteful number, since it uses less digits than its factorization.

14012021333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230710 (or 2230700 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 14012021333440 its reverse (4433312021041), we get a palindrome (18445333354481).

The spelling of 14012021333440 in words is "fourteen trillion, twelve billion, twenty-one million, three hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 1511 2080 3022 4160 6044 7555 12088 15110 19643 24176 30220 39286 48352 60440 78572 96704 98215 120880 157144 196430 241760 314288 392860 483520 628576 785720 1257152 1571440 2229169 3142880 4458338 6285760 8916676 11145845 17833352 22291690 28979197 35666704 44583380 57958394 71333408 89166760 115916788 142666816 144895985 178333520 231833576 289791970 356667040 463667152 579583940 713334080 927334304 1159167880 1854668608 2318335760 3368274359 4636671520 6736548718 9273343040 13473097436 16841371795 26946194872 33682743590 43787566667 53892389744 67365487180 87575133334 107784779488 134730974360 175150266668 215569558976 218937833335 269461948720 350300533336 437875666670 538923897440 700601066672 875751333340 1077847794880 1401202133344 1751502666680 2802404266688 3503005333360 7006010666720 14012021333440