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244465474000 = 24531117653651
BaseRepresentation
bin1110001110101101000…
…1110001100111010000
3212101000012220210201211
43203223101301213100
513001131130132000
6304150023305504
723443040146306
oct3435321614720
9771005823654
10244465474000
119474a428a20
123b466bab294
131a08c57a137
14bb9176c276
15655bec97ba
hex38eb4719d0

244465474000 has 160 divisors (see below), whose sum is σ = 682789191552. Its totient is φ = 83667200000.

The previous prime is 244465473977. The next prime is 244465474021. The reversal of 244465474000 is 474564442.

244465474000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 47175 + ... + 700825.

Almost surely, 2244465474000 is an apocalyptic number.

244465474000 is a gapful number since it is divisible by the number (20) 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 244465474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341394595776).

244465474000 is an abundant number, since it is smaller than the sum of its proper divisors (438323717552).

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

244465474000 is a wasteful number, since it uses less digits than its factorization.

244465474000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653702 (or 653686 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 40.

The spelling of 244465474000 in words is "two hundred forty-four billion, four hundred sixty-five million, four hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 80 85 88 100 110 125 136 170 176 187 200 220 250 272 275 340 374 400 425 440 500 550 680 748 850 880 935 1000 1100 1360 1375 1496 1700 1870 2000 2125 2200 2750 2992 3400 3740 4250 4400 4675 5500 6800 7480 8500 9350 11000 14960 17000 18700 22000 23375 34000 37400 46750 74800 93500 187000 374000 653651 1307302 2614604 3268255 5229208 6536510 7190161 10458416 11112067 13073020 14380322 16341275 22224134 26146040 28760644 32682550 35950805 44448268 52292080 55560335 57521288 65365100 71901610 81706375 88896536 111120670 115042576 122232737 130730200 143803220 163412750 177793072 179754025 222241340 244465474 261460400 277801675 287606440 326825500 359508050 444482680 488930948 555603350 575212880 611163685 653651000 719016100 888965360 898770125 977861896 1111206700 1222327370 1307302000 1389008375 1438032200 1797540250 1955723792 2222413400 2444654740 2778016750 2876064400 3055818425 3595080500 4444826800 4889309480 5556033500 6111636850 7190161000 9778618960 11112067000 12223273700 14380322000 15279092125 22224134000 24446547400 30558184250 48893094800 61116368500 122232737000 244465474000