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400448641573680 = 24357317689106021
BaseRepresentation
bin101101100001101001011011…
…1000010000010001100110000
31221111212111221100112110011120
41123003102313002002030300
5404441422304220324210
63535403322152542240
7150230313434244450
oct13303226702021460
91844774840473146
10400448641573680
11106660351548267
1238ab57679b1980
131425a1b637524b
1470c5b6396bd60
1531468c4eda270
hex16c34b7082330

400448641573680 has 160 divisors (see below), whose sum is σ = 1464497889374208. Its totient is φ = 88578501350400.

The previous prime is 400448641573657. The next prime is 400448641573681. The reversal of 400448641573680 is 86375146844004.

It is a super-2 number, since 2×4004486415736802 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (400448641573681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3844500931 + ... + 3844605090.

Almost surely, 2400448641573680 is an apocalyptic number.

400448641573680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400448641573680 is an abundant number, since it is smaller than the sum of its proper divisors (1064049247800528).

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

400448641573680 is a wasteful number, since it uses less digits than its factorization.

400448641573680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7689106075 (or 7689106069 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 60.

The spelling of 400448641573680 in words is "four hundred trillion, four hundred forty-eight billion, six hundred forty-one million, five hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1085 1240 1302 1488 1680 1736 1860 2170 2480 2604 3255 3472 3720 4340 5208 6510 7440 8680 10416 13020 17360 26040 52080 7689106021 15378212042 23067318063 30756424084 38445530105 46134636126 53823742147 61512848168 76891060210 92269272252 107647484294 115336590315 123025696336 153782120420 161471226441 184538544504 215294968588 230673180630 238362286651 269118710735 307564240840 322942452882 369077089008 430589937176 461346361260 476724573302 538237421470 615128481680 645884905764 715086859953 807356132205 861179874352 922692722520 953449146604 1076474842940 1191811433255 1291769811528 1430173719906 1614712264410 1668536006557 1845385445040 1906898293208 2152949685880 2383622866510 2583539623056 2860347439812 3229424528820 3337072013114 3575434299765 3813796586416 4305899371760 4767245733020 5005608019671 5720694879624 6458849057640 6674144026228 7150868599530 8342680032785 9534491466040 10011216039342 11441389759248 12917698115280 13348288052456 14301737199060 16685360065570 19068982932080 20022432078684 25028040098355 26696576104912 28603474398120 33370720131140 40044864157368 50056080196710 57206948796240 66741440262280 80089728314736 100112160393420 133482880524560 200224320786840 400448641573680