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404439580272 = 243713689913421
BaseRepresentation
bin1011110001010100111…
…10100011111001110000
31102122221002102102012210
411320222132203321300
523111243013032042
6505444051452120
741135250465510
oct5705236437160
91378832372183
10404439580272
11146581665802
1266471bb7040
132c1a534bb10
1415809a61840
15a7c154ea9c
hex5e2a7a3e70

404439580272 has 160 divisors (see below), whose sum is σ = 1286192678400. Its totient is φ = 106641976320.

The previous prime is 404439580261. The next prime is 404439580373. The reversal of 404439580272 is 272085934404.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30128122 + ... + 30141542.

It is an arithmetic number, because the mean of its divisors is an integer number (8038704240).

Almost surely, 2404439580272 is an apocalyptic number.

404439580272 is a gapful number since it is divisible by the number (42) 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 404439580272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643096339200).

404439580272 is an abundant number, since it is smaller than the sum of its proper divisors (881753098128).

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

404439580272 is a wasteful number, since it uses less digits than its factorization.

404439580272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20351 (or 20345 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 404439580272 in words is "four hundred four billion, four hundred thirty-nine million, five hundred eighty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 6899 13421 13798 20697 26842 27596 40263 41394 48293 53684 55192 80526 82788 89687 93947 96586 107368 110384 144879 161052 165576 174473 179374 187894 193172 214736 269061 281841 289758 322104 331152 348946 358748 375788 386344 523419 538122 563682 579516 627809 644208 697892 717496 751576 772688 1046838 1076244 1127364 1159032 1221311 1255618 1395784 1434992 1503152 1883427 2093676 2152488 2254728 2318064 2442622 2511236 2791568 3663933 3766854 4187352 4304976 4509456 4885244 5022472 7327866 7533708 8374704 9770488 10044944 14655732 15067416 19540976 29311464 30134832 58622928 92591479 185182958 277774437 370365916 555548874 648140353 740731832 1111097748 1203689227 1296280706 1481463664 1944421059 2222195496 2407378454 2592561412 3611067681 3888842118 4444390992 4814756908 5185122824 7222135362 7777684236 8425824589 9629513816 10370245648 14444270724 15555368472 16851649178 19259027632 25277473767 28888541448 31110736944 33703298356 50554947534 57777082896 67406596712 101109895068 134813193424 202219790136 404439580272