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314221434031024 = 24134732142127049
BaseRepresentation
bin100011101110010000110000…
…0111101001100101110110000
31112012120021110000001211002221
41013130201200331030232300
5312141200444102443044
63032143200051050424
7123120515026302052
oct10734414075145660
91465507400054087
10314221434031024
119113661a858033
122b2aa2765a0a14
1310643c53188010
1457845818bb8d2
15264d9497b5484
hex11dc860f4cbb0

314221434031024 has 40 divisors (see below), whose sum is σ = 669584790705600. Its totient is φ = 141939633043968.

The previous prime is 314221434030979. The next prime is 314221434031093. The reversal of 314221434031024 is 420130434122413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16071053749 + ... + 16071073300.

It is an arithmetic number, because the mean of its divisors is an integer number (16739619767640).

Almost surely, 2314221434031024 is an apocalyptic number.

It is an amenable number.

314221434031024 is an abundant number, since it is smaller than the sum of its proper divisors (355363356674576).

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

314221434031024 is a wasteful number, since it uses less digits than its factorization.

314221434031024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32142127117 (or 32142127111 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 314221434031024 its reverse (420130434122413), we get a palindrome (734351868153437).

The spelling of 314221434031024 in words is "three hundred fourteen trillion, two hundred twenty-one billion, four hundred thirty-four million, thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 376 611 752 1222 2444 4888 9776 32142127049 64284254098 128568508196 257137016392 417847651637 514274032784 835695303274 1510679971303 1671390606548 3021359942606 3342781213096 6042719885212 6685562426192 12085439770424 19638839626939 24170879540848 39277679253878 78555358507756 157110717015512 314221434031024