Search a number
-
+
141406417271704 = 231313165511584371
BaseRepresentation
bin100000001001101110111111…
…010001010011101110011000
3200112200022200100110111220211
4200021232333101103232120
5122013300320310143304
61220425113350100504
741533163561613064
oct4011567721235630
9615608610414824
10141406417271704
1141069141101772
1213a3961704a734
1360b974c991260
1426cc16dcc4aa4
15115348ac0a204
hex809bbf453b98

141406417271704 has 64 divisors (see below), whose sum is σ = 287755924135680. Its totient is φ = 64756370640000.

The previous prime is 141406417271653. The next prime is 141406417271761. The reversal of 141406417271704 is 407172714604141.

141406417271704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88458639 + ... + 90043009.

It is an arithmetic number, because the mean of its divisors is an integer number (4496186314620).

Almost surely, 2141406417271704 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 141406417271704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143877962067840).

141406417271704 is an abundant number, since it is smaller than the sum of its proper divisors (146349506863976).

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

141406417271704 is a wasteful number, since it uses less digits than its factorization.

141406417271704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591072 (or 1591068 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 49.

The spelling of 141406417271704 in words is "one hundred forty-one trillion, four hundred six billion, four hundred seventeen million, two hundred seventy-one thousand, seven hundred four".

Divisors: 1 2 4 8 13 26 52 104 131 262 524 1048 1703 3406 6551 6812 13102 13624 26204 52408 85163 170326 340652 681304 858181 1584371 1716362 3168742 3432724 6337484 6865448 11156353 12674968 20596823 22312706 41193646 44625412 82387292 89250824 164774584 207552601 415105202 830210404 1660420808 2698183813 5396367626 10379214421 10792735252 20758428842 21585470504 41516857684 83033715368 134929787473 269859574946 539719149892 1079438299784 1359677089151 2719354178302 5438708356604 10877416713208 17675802158963 35351604317926 70703208635852 141406417271704