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420448514640 = 243571122751543
BaseRepresentation
bin1100001111001001010…
…11110011001001010000
31111012020210001112122220
412013210223303021100
523342034304432030
6521052410501040
742243051256530
oct6074453631120
91435223045586
10420448514640
11152347253080
126959b434780
1330856c1284b
14164c7c7b4c0
15ae0bc0ca10
hex61e4af3250

420448514640 has 160 divisors (see below), whose sum is σ = 1625006278656. Its totient is φ = 87365921280.

The previous prime is 420448514627. The next prime is 420448514657. The reversal of 420448514640 is 46415844024.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 420448514592 and 420448514601.

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, 11357292 + ... + 11394251.

Almost surely, 2420448514640 is an apocalyptic number.

420448514640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420448514640 is an abundant number, since it is smaller than the sum of its proper divisors (1204557764016).

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

420448514640 is a wasteful number, since it uses less digits than its factorization.

420448514640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22751577 (or 22751571 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 42.

The spelling of 420448514640 in words is "four hundred twenty billion, four hundred forty-eight million, five hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 22751543 45503086 68254629 91006172 113757715 136509258 159260801 182012344 227515430 250266973 273018516 318521602 341273145 364024688 455030860 477782403 500533946 546037032 637043204 682546290 750800919 796304005 910061720 955564806 1001067892 1092074064 1251334865 1274086408 1365092580 1501601838 1592608010 1751868811 1820123440 1911129612 2002135784 2388912015 2502669730 2548172816 2730185160 3003203676 3185216020 3503737622 3754004595 3822259224 4004271568 4777824030 5005339460 5255606433 5460370320 6006407352 6370432040 7007475244 7508009190 7644518448 8759344055 9555648060 10010678920 10511212866 12012814704 12740864080 14014950488 15016018380 17518688110 19111296120 20021357840 21022425732 26278032165 28029900976 30032036760 35037376220 38222592240 42044851464 52556064330 60064073520 70074752440 84089702928 105112128660 140149504880 210224257320 420448514640