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14401230303040 = 265723472739293
BaseRepresentation
bin1101000110010000110000…
…1101110110111101000000
31212222202002111112012020121
43101210030031312331000
53341422204424144130
650343500040550024
73014311624556650
oct321441415667500
955882074465217
1014401230303040
114652589080959
12174707aa82314
13806051436649
1437b047bac360
1519e92081ad7a
hexd190c376f40

14401230303040 has 112 divisors (see below), whose sum is σ = 39208632653952. Its totient is φ = 4935459096576.

The previous prime is 14401230303029. The next prime is 14401230303113. The reversal of 14401230303040 is 4030303210441.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 14401230302996 and 14401230303014.

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, 3887634 + ... + 6626926.

Almost surely, 214401230303040 is an apocalyptic number.

14401230303040 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 14401230303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19604316326976).

14401230303040 is an abundant number, since it is smaller than the sum of its proper divisors (24807402350912).

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

14401230303040 is a wasteful number, since it uses less digits than its factorization.

14401230303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741664 (or 2741654 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 14401230303040 its reverse (4030303210441), we get a palindrome (18431533513481).

The spelling of 14401230303040 in words is "fourteen trillion, four hundred one billion, two hundred thirty million, three hundred three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 2347 4694 9388 11735 16429 18776 23470 32858 37552 46940 65716 75104 82145 93880 131432 150208 164290 187760 262864 328580 375520 525728 657160 751040 1051456 1314320 2628640 2739293 5257280 5478586 10957172 13696465 19175051 21914344 27392930 38350102 43828688 54785860 76700204 87657376 95875255 109571720 153400408 175314752 191750510 219143440 306800816 383501020 438286880 613601632 767002040 876573760 1227203264 1534004080 3068008160 6136016320 6429120671 12858241342 25716482684 32145603355 45003844697 51432965368 64291206710 90007689394 102865930736 128582413420 180015378788 205731861472 225019223485 257164826840 360030757576 411463722944 450038446970 514329653680 720061515152 900076893940 1028659307360 1440123030304 1800153787880 2057318614720 2880246060608 3600307575760 7200615151520 14401230303040