Search a number
-
+
241476063433276 = 22729245232267219
BaseRepresentation
bin110110111001111100000110…
…111110111001001000111100
31011122222212221001022122000011
4312321330012332321020330
5223122320434214331101
62213324323323513004
7101602032650503150
oct6671740676711074
91148885831278004
10241476063433276
116aa3a4725a3961
12230bb819088764
13a498130b53499
14438b70a723060
151cdb52e9e4751
hexdb9f06fb923c

241476063433276 has 72 divisors (see below), whose sum is σ = 500290714385280. Its totient is φ = 99898993852224.

The previous prime is 241476063433243. The next prime is 241476063433327. The reversal of 241476063433276 is 672334360674142.

It is a super-2 number, since 2×2414760634332762 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 241476063433276.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105373995 + ... + 107641213.

It is an arithmetic number, because the mean of its divisors is an integer number (6948482144240).

Almost surely, 2241476063433276 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 241476063433276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250145357192640).

241476063433276 is an abundant number, since it is smaller than the sum of its proper divisors (258814650952004).

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

241476063433276 is a wasteful number, since it uses less digits than its factorization.

241476063433276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271811 (or 2271780 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 58.

The spelling of 241476063433276 in words is "two hundred forty-one trillion, four hundred seventy-six billion, sixty-three million, four hundred thirty-three thousand, two hundred seventy-six".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 841 1682 3364 4523 5887 9046 11774 18092 23548 31661 63322 126644 131167 262334 524668 918169 1836338 2267219 3672676 3803843 4534438 7607686 9068876 15215372 15870533 26626901 31741066 53253802 63482132 65749351 106507604 131498702 262997404 460245457 920490914 1840981828 1906731179 3813462358 7626924716 10254631537 13347118253 20509263074 26694236506 41018526148 53388473012 71782420759 143564841518 287129683036 297384314573 594768629146 1189537258292 2081690202011 4163380404022 8326760808044 8624145122617 17248290245234 34496580490468 60369015858319 120738031716638 241476063433276