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14121769950 = 23252171997157
BaseRepresentation
bin11010010011011100…
…10001101111011110
31100110011121020112200
431021232101233132
5212410133114300
610253142312330
71006644030651
oct151156215736
940404536480
1014121769950
115a97409862
1228a14286a6
1314409055c2
1497d733898
15579b88200
hex349b91bde

14121769950 has 144 divisors (see below), whose sum is σ = 42287047920. Its totient is φ = 3357711360.

The previous prime is 14121769939. The next prime is 14121769979. The reversal of 14121769950 is 5996712141.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 14121769896 and 14121769905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96772 + ... + 193928.

It is an arithmetic number, because the mean of its divisors is an integer number (293660055).

Almost surely, 214121769950 is an apocalyptic number.

14121769950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14121769950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21143523960).

14121769950 is an abundant number, since it is smaller than the sum of its proper divisors (28165277970).

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

14121769950 is a wasteful number, since it uses less digits than its factorization.

14121769950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97211 (or 97203 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 14121769950 in words is "fourteen billion, one hundred twenty-one million, seven hundred sixty-nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 25 30 34 38 45 50 51 57 75 85 90 95 102 114 150 153 170 171 190 225 255 285 306 323 342 425 450 475 510 570 646 765 850 855 950 969 1275 1425 1530 1615 1710 1938 2550 2850 2907 3230 3825 4275 4845 5814 7650 8075 8550 9690 14535 16150 24225 29070 48450 72675 97157 145350 194314 291471 485785 582942 874413 971570 1457355 1651669 1748826 1845983 2428925 2914710 3303338 3691966 4372065 4857850 4955007 5537949 7286775 8258345 8744130 9229915 9910014 11075898 14573550 14865021 16516690 16613847 18459830 21860325 24775035 27689745 29730042 31381711 33227694 41291725 43720650 46149575 49550070 55379490 62763422 74325105 82583450 83069235 92299150 94145133 123875175 138448725 148650210 156908555 166138470 188290266 247750350 276897450 282435399 313817110 371625525 415346175 470725665 564870798 743251050 784542775 830692350 941451330 1412176995 1569085550 2353628325 2824353990 4707256650 7060884975 14121769950