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420411442440 = 233511694945833
BaseRepresentation
bin1100001111000100111…
…10011000010100001000
31111012011012022002011110
412013202132120110020
523342000312124230
6521045004130320
742242121204363
oct6074236302410
91435135262143
10420411442440
111523283321a0
126958ab369a0
133084c332832
14164c2d8b0da
15ae088384b0
hex61e2798508

420411442440 has 128 divisors (see below), whose sum is σ = 1376120016000. Its totient is φ = 101901035520.

The previous prime is 420411442393. The next prime is 420411442457. The reversal of 420411442440 is 44244114024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 420411442398 and 420411442407.

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, 9149764 + ... + 9195596.

It is an arithmetic number, because the mean of its divisors is an integer number (10750937625).

Almost surely, 2420411442440 is an apocalyptic number.

420411442440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420411442440 is an abundant number, since it is smaller than the sum of its proper divisors (955708573560).

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

420411442440 is a wasteful number, since it uses less digits than its factorization.

420411442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52807 (or 52803 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 420411442440 its reverse (44244114024), we get a palindrome (464655556464).

The spelling of 420411442440 in words is "four hundred twenty billion, four hundred eleven million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 6949 13898 20847 27796 34745 41694 45833 55592 69490 76439 83388 91666 104235 137499 138980 152878 166776 183332 208470 229165 229317 274998 277960 305756 366664 382195 416940 458330 458634 504163 549996 611512 687495 764390 833880 916660 917268 1008326 1099992 1146585 1374990 1512489 1528780 1833320 1834536 2016652 2293170 2520815 2749980 3024978 3057560 4033304 4586340 5041630 5499960 6049956 7562445 9172680 10083260 12099912 15124890 20166520 30249780 60499560 318493517 636987034 955480551 1273974068 1592467585 1910961102 2547948136 3184935170 3503428687 3821922204 4777402755 6369870340 7006857374 7643844408 9554805510 10510286061 12739740680 14013714748 17517143435 19109611020 21020572122 28027429496 35034286870 38219222040 42041144244 52551430305 70068573740 84082288488 105102860610 140137147480 210205721220 420411442440