Search a number
-
+
74131444413147 = 31119686317227447
BaseRepresentation
bin10000110110110000010010…
…011010010011001011011011
3100201110220012211011111200210
4100312300102122103023123
534204032144232210042
6421355303155302203
721420551204514432
oct2066602232231333
9321426184144623
1074131444413147
1121690a7284a8a0
1283932068aa963
133249746a05ba4
141443da4024119
158884e052da9c
hex436c126932db

74131444413147 has 32 divisors (see below), whose sum is σ = 113519234949120. Its totient is φ = 42557304402720.

The previous prime is 74131444413121. The next prime is 74131444413161.

74131444413147 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 74131444413147 - 223 = 74131436024539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 74131444413096 and 74131444413105.

It is not an unprimeable number, because it can be changed into a prime (74131444413167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4310623 + ... + 12916824.

It is an arithmetic number, because the mean of its divisors is an integer number (3547476092160).

Almost surely, 274131444413147 is an apocalyptic number.

74131444413147 is a deficient number, since it is larger than the sum of its proper divisors (39387790535973).

74131444413147 is a wasteful number, since it uses less digits than its factorization.

74131444413147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17234343.

The product of its digits is 1806336, while the sum is 48.

The spelling of 74131444413147 in words is "seventy-four trillion, one hundred thirty-one billion, four hundred forty-four million, four hundred thirteen thousand, one hundred forty-seven".

Divisors: 1 3 11 19 33 57 209 627 6863 20589 75493 130397 226479 391191 1434367 4303101 17227447 51682341 189501917 327321493 568505751 981964479 3600536423 10801609269 118231968761 354695906283 1300551656371 2246407406459 3901654969113 6739222219377 24710481471049 74131444413147