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14474285072700 = 22352314057383627
BaseRepresentation
bin1101001010100000111010…
…0111101100000100111100
31220020201122210222000022020
43102220032213230010330
53344121313434311300
650441221134120140
73022506164063415
oct322501647540474
956221583860266
1014474285072700
114680567641652
121759268950050
1380cbc47008bb
143807b83a680c
151a17991dd8a0
hexd2a0e9ec13c

14474285072700 has 144 divisors (see below), whose sum is σ = 43240633089024. Its totient is φ = 3734368934400.

The previous prime is 14474285072629. The next prime is 14474285072729. The reversal of 14474285072700 is 727058247441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37538287 + ... + 37921913.

Almost surely, 214474285072700 is an apocalyptic number.

14474285072700 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 14474285072700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21620316544512).

14474285072700 is an abundant number, since it is smaller than the sum of its proper divisors (28766348016324).

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

14474285072700 is a wasteful number, since it uses less digits than its factorization.

14474285072700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387732 (or 387725 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 51.

The spelling of 14474285072700 in words is "fourteen trillion, four hundred seventy-four billion, two hundred eighty-five million, seventy-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4057 4650 8114 9300 12171 16228 20285 24342 40570 48684 60855 81140 101425 121710 125767 202850 243420 251534 304275 377301 383627 405700 503068 608550 628835 754602 767254 1150881 1217100 1257670 1509204 1534508 1886505 1918135 2301762 2515340 3144175 3773010 3836270 4603524 5754405 6288350 7546020 7672540 9432525 9590675 11508810 11892437 12576700 18865050 19181350 23017620 23784874 28772025 35677311 37730100 38362700 47569748 57544050 59462185 71354622 115088100 118924370 142709244 178386555 237848740 297310925 356773110 594621850 713546220 891932775 1189243700 1556374739 1783865550 3112749478 3567731100 4669124217 6225498956 7781873695 9338248434 15563747390 18676496868 23345621085 31127494780 38909368475 46691242170 48247616909 77818736950 93382484340 96495233818 116728105425 144742850727 155637473900 192990467636 233456210850 241238084545 289485701454 466912421700 482476169090 578971402908 723714253635 964952338180 1206190422725 1447428507270 2412380845450 2894857014540 3618571268175 4824761690900 7237142536350 14474285072700