Search a number
-
+
16114065352200 = 23325241218347769
BaseRepresentation
bin1110101001111101100100…
…1001000010011000001000
32010001111012220212001220200
43222133121021002120020
54103003101212232300
654134411024252200
73252126363350634
oct352373111023010
963044186761820
1016114065352200
115152a33886892
12198301ba71060
138cb71c008a5a
143d9cd3dc7dc4
151ce26cd57200
hexea7d9242608

16114065352200 has 144 divisors (see below), whose sum is σ = 55436315325300. Its totient is φ = 4192277145600.

The previous prime is 16114065352183. The next prime is 16114065352261. The reversal of 16114065352200 is 225356041161.

16114065352200 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 40 + 65 + 352 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1779678730116 + 14334386622084 = 1334046^2 + 3786078^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109100085 + ... + 109247684.

Almost surely, 216114065352200 is an apocalyptic number.

16114065352200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16114065352200 is an abundant number, since it is smaller than the sum of its proper divisors (39322249973100).

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

16114065352200 is a wasteful number, since it uses less digits than its factorization.

16114065352200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218347832 (or 218347820 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 16114065352200 in words is "sixteen trillion, one hundred fourteen billion, sixty-five million, three hundred fifty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 41 45 50 60 72 75 82 90 100 120 123 150 164 180 200 205 225 246 300 328 360 369 410 450 492 600 615 738 820 900 984 1025 1230 1476 1640 1800 1845 2050 2460 2952 3075 3690 4100 4920 6150 7380 8200 9225 12300 14760 18450 24600 36900 73800 218347769 436695538 655043307 873391076 1091738845 1310086614 1746782152 1965129921 2183477690 2620173228 3275216535 3930259842 4366955380 5240346456 5458694225 6550433070 7860519684 8733910760 8952258529 9825649605 10917388450 13100866140 15721039368 16376082675 17904517058 19651299210 21834776900 26201732280 26856775587 32752165350 35809034116 39302598420 43669553800 44761292645 49128248025 53713551174 65504330700 71618068232 78605196840 80570326761 89522585290 98256496050 107427102348 131008661400 134283877935 161140653522 179045170580 196512992100 214854204696 223806463225 268567755870 322281307044 358090341160 393025984200 402851633805 447612926450 537135511740 644562614088 671419389675 805703267610 895225852900 1074271023480 1342838779350 1611406535220 1790451705800 2014258169025 2685677558700 3222813070440 4028516338050 5371355117400 8057032676100 16114065352200