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420133330974 = 237414716331847
BaseRepresentation
bin1100001110100011110…
…01011110000000011110
31111011102210222112221210
412013101321132000132
523340413113042344
6521001231205250
742232203250650
oct6072171360036
91434383875853
10420133330974
111521a5348a05
1269511976826
1330806829936
14164980746d0
15adde1eedb9
hex61d1e5e01e

420133330974 has 128 divisors (see below), whose sum is σ = 1010852462592. Its totient is φ = 113911868160.

The previous prime is 420133330973. The next prime is 420133331011. The reversal of 420133330974 is 479033331024.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420133330973) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 13176319 + ... + 13208165.

It is an arithmetic number, because the mean of its divisors is an integer number (7897284864).

Almost surely, 2420133330974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420133330974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505426231296).

420133330974 is an abundant number, since it is smaller than the sum of its proper divisors (590719131618).

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

420133330974 is a wasteful number, since it uses less digits than its factorization.

420133330974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32110.

The product of its (nonzero) digits is 163296, while the sum is 39.

Adding to 420133330974 its reverse (479033331024), we get a palindrome (899166661998).

The spelling of 420133330974 in words is "four hundred twenty billion, one hundred thirty-three million, three hundred thirty thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 41 42 47 82 94 123 141 163 246 282 287 326 329 489 574 658 861 978 987 1141 1722 1927 1974 2282 3423 3854 5781 6683 6846 7661 11562 13366 13489 15322 20049 22983 26978 31847 40098 40467 45966 46781 53627 63694 80934 93562 95541 107254 140343 160881 191082 222929 280686 314101 321762 445858 628202 668787 942303 1305727 1337574 1496809 1884606 2198707 2611454 2993618 3917181 4397414 4490427 5191061 6596121 7834362 8980854 9140089 10382122 10477663 13192242 15573183 18280178 20955326 27420267 31146366 31432989 36337427 54840534 61369169 62865978 72674854 109012281 122738338 184107507 212833501 218024562 243979867 368215014 425667002 429584183 487959734 638500503 731939601 859168366 1277001006 1288752549 1463879202 1489834507 1707859069 2577505098 2979669014 3415718138 4469503521 5123577207 8939007042 10003174547 10247154414 20006349094 30009523641 60019047282 70022221829 140044443658 210066665487 420133330974