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14410667008 = 210293731301
BaseRepresentation
bin11010110101111000…
…10101010000000000
31101012022012201210201
431122330111100000
5214003112321013
610341542334544
71020052435303
oct153274252000
941168181721
1014410667008
11612549a461
12296212a454
1314887167ca
149a9c56b3a
155952023dd
hex35af15400

14410667008 has 88 divisors (see below), whose sum is σ = 29903476680. Its totient is φ = 6932889600.

The previous prime is 14410666993. The next prime is 14410667027. The reversal of 14410667008 is 80076601441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41370624 + 14369296384 = 6432^2 + 119872^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11075958 + ... + 11077258.

It is an arithmetic number, because the mean of its divisors is an integer number (339812235).

Almost surely, 214410667008 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 14410667008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14951738340).

14410667008 is an abundant number, since it is smaller than the sum of its proper divisors (15492809672).

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

14410667008 is a wasteful number, since it uses less digits than its factorization.

14410667008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 14410667008 in words is "fourteen billion, four hundred ten million, six hundred sixty-seven thousand, eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 373 464 512 746 928 1024 1301 1492 1856 2602 2984 3712 5204 5968 7424 10408 10817 11936 14848 20816 21634 23872 29696 37729 41632 43268 47744 75458 83264 86536 95488 150916 166528 173072 190976 301832 333056 346144 381952 485273 603664 666112 692288 970546 1207328 1332224 1384576 1941092 2414656 2769152 3882184 4829312 5538304 7764368 9658624 11076608 14072917 15528736 19317248 28145834 31057472 38634496 56291668 62114944 112583336 124229888 225166672 248459776 450333344 496919552 900666688 1801333376 3602666752 7205333504 14410667008