Search a number
-
+
146141036602404 = 223231697312019157
BaseRepresentation
bin100001001110101000011100…
…100100101110010000100100
3201011102221120010000211102020
4201032220130210232100210
5123123333320332234104
61234452133153543140
742532225060115064
oct4116503444562044
9634387503024366
10146141036602404
114262407a300538
1214483141574ab0
13637106b31688c
14281339a2633a4
1511d66e51a72d9
hex84ea1c92e424

146141036602404 has 48 divisors (see below), whose sum is σ = 356031332350848. Its totient is φ = 46568234994688.

The previous prime is 146141036602361. The next prime is 146141036602493. The reversal of 146141036602404 is 404206630141641.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 155541207 + ... + 156477950.

It is an arithmetic number, because the mean of its divisors is an integer number (7417319423976).

Almost surely, 2146141036602404 is an apocalyptic number.

It is an amenable number.

146141036602404 is an abundant number, since it is smaller than the sum of its proper divisors (209890295748444).

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

146141036602404 is a wasteful number, since it uses less digits than its factorization.

146141036602404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312020884 (or 312020882 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 146141036602404 in words is "one hundred forty-six trillion, one hundred forty-one billion, thirty-six million, six hundred two thousand, four hundred four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 1697 3394 5091 6788 10182 20364 39031 78062 117093 156124 234186 468372 312019157 624038314 936057471 1248076628 1872114942 3744229884 7176440611 14352881222 21529321833 28705762444 43058643666 86117287332 529496509429 1058993018858 1588489528287 2117986037716 3176979056574 6353958113148 12178419716867 24356839433734 36535259150601 48713678867468 73070518301202 146141036602404