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144712050700 = 225276116272083
BaseRepresentation
bin1000011011000110000…
…0101010100000001100
3111211112020020212010111
42012301200222200030
54332332241110300
6150251345245404
713312046064310
oct2066140524014
9454466225114
10144712050700
11564101a8618
1224067933864
1310852b81b89
14700b375b40
153b6e7499ba
hex21b182a80c

144712050700 has 144 divisors (see below), whose sum is σ = 365168683264. Its totient is φ = 48748780800.

The previous prime is 144712050649. The next prime is 144712050709. The reversal of 144712050700 is 7050217441.

It is not an unprimeable number, because it can be changed into a prime (144712050709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69471859 + ... + 69473941.

Almost surely, 2144712050700 is an apocalyptic number.

144712050700 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 144712050700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182584341632).

144712050700 is an abundant number, since it is smaller than the sum of its proper divisors (220456632564).

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

144712050700 is a wasteful number, since it uses less digits than its factorization.

144712050700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The spelling of 144712050700 in words is "one hundred forty-four billion, seven hundred twelve million, fifty thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 61 70 100 122 140 175 244 305 350 427 610 700 854 1220 1525 1627 1708 2083 2135 3050 3254 4166 4270 6100 6508 8135 8332 8540 10415 10675 11389 14581 16270 20830 21350 22778 29162 32540 40675 41660 42700 45556 52075 56945 58324 72905 81350 99247 104150 113890 127063 145810 162700 198494 208300 227780 254126 284725 291620 364525 396988 496235 508252 569450 635315 694729 729050 889441 992470 1138900 1270630 1389458 1458100 1778882 1984940 2481175 2541260 2778916 3176575 3389041 3473645 3557764 4447205 4962350 6353150 6778082 6947290 8894410 9924700 12706300 13556164 13894580 16945205 17368225 17788820 22236025 23723287 33890410 34736450 44472050 47446574 67780820 69472900 84726025 88944100 94893148 118616435 169452050 206731501 237232870 338904100 413463002 474465740 593082175 826926004 1033657505 1186164350 1447120507 2067315010 2372328700 2894241014 4134630020 5168287525 5788482028 7235602535 10336575050 14471205070 20673150100 28942410140 36178012675 72356025350 144712050700