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14116758880 = 255724633889
BaseRepresentation
bin11010010010110110…
…01010010101100000
31100102211011122122111
431021123022111200
5212402342241010
610252443045104
71006553320300
oct151133122540
940384148574
1014116758880
115a945a6984
12289b810794
13143c86c783
1497cbcb600
155794e858a
hex3496ca560

14116758880 has 144 divisors (see below), whose sum is σ = 38889668160. Its totient is φ = 4828336128.

The previous prime is 14116758869. The next prime is 14116758899. The reversal of 14116758880 is 8885761141.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3627976 + ... + 3631864.

It is an arithmetic number, because the mean of its divisors is an integer number (270067140).

Almost surely, 214116758880 is an apocalyptic number.

14116758880 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 14116758880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19444834080).

14116758880 is an abundant number, since it is smaller than the sum of its proper divisors (24772909280).

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

14116758880 is a wasteful number, since it uses less digits than its factorization.

14116758880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 49.

The spelling of 14116758880 in words is "fourteen billion, one hundred sixteen million, seven hundred fifty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 463 490 560 784 926 980 1120 1568 1852 1960 2315 3241 3704 3889 3920 4630 6482 7408 7778 7840 9260 12964 14816 15556 16205 18520 19445 22687 25928 27223 31112 32410 37040 38890 45374 51856 54446 62224 64820 74080 77780 90748 103712 108892 113435 124448 129640 136115 155560 181496 190561 217784 226870 259280 272230 311120 362992 381122 435568 453740 518560 544460 622240 725984 762244 871136 907480 952805 1088920 1524488 1800607 1814960 1905610 2177840 3048976 3601214 3629920 3811220 4355680 6097952 7202428 7622440 9003035 12604249 14404856 15244880 18006070 25208498 28809712 30489760 36012140 50416996 57619424 63021245 72024280 88229743 100833992 126042490 144048560 176459486 201667984 252084980 288097120 352918972 403335968 441148715 504169960 705837944 882297430 1008339920 1411675888 1764594860 2016679840 2823351776 3529189720 7058379440 14116758880