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420324402740 = 2251179113214021
BaseRepresentation
bin1100001110111010100…
…10010110011000110100
31111011221010112000010212
412013131102112120310
523341311021341430
6521032214404552
742240013321334
oct6073522263064
91434833460125
10420324402740
11152293192a60
1269565960758
13308372a9158
14164b55b10c4
15ae00d93b95
hex61dd496634

420324402740 has 96 divisors (see below), whose sum is σ = 983747842560. Its totient is φ = 149574297600.

The previous prime is 420324402733. The next prime is 420324402761. The reversal of 420324402740 is 47204423024.

It is a junction number, because it is equal to n+sod(n) for n = 420324402697 and 420324402706.

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, 1856930 + ... + 2070950.

It is an arithmetic number, because the mean of its divisors is an integer number (10247373360).

Almost surely, 2420324402740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420324402740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491873921280).

420324402740 is an abundant number, since it is smaller than the sum of its proper divisors (563423439820).

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

420324402740 is a wasteful number, since it uses less digits than its factorization.

420324402740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214233 (or 214231 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 32.

Adding to 420324402740 its reverse (47204423024), we get a palindrome (467528825764).

The spelling of 420324402740 in words is "four hundred twenty billion, three hundred twenty-four million, four hundred two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 113 158 220 226 316 395 452 565 790 869 1130 1243 1580 1738 2260 2486 3476 4345 4972 6215 8690 8927 12430 17380 17854 24860 35708 44635 89270 98197 178540 196394 214021 392788 428042 490985 856084 981970 1070105 1963940 2140210 2354231 4280420 4708462 9416924 11771155 16907659 23542310 24184373 33815318 47084620 48368746 67630636 84538295 96737492 120921865 169076590 185984249 241843730 266028103 338153180 371968498 483687460 532056206 743936996 929921245 1064112412 1330140515 1859842490 1910565467 2660281030 3719684980 3821130934 5320562060 7642261868 9552827335 19105654670 21016220137 38211309340 42032440274 84064880548 105081100685 210162201370 420324402740