Search a number
-
+
23141331014412 = 22313231735042383
BaseRepresentation
bin1010100001100000000101…
…10100001001001100001100
310000221021211010222012101010
411100300002310021030030
511013121421214430122
6121114551455445220
74605622520050542
oct520600264111414
9100837733865333
1023141331014412
117412202078766
122718b40b26810
13cbb2ab37c500
145a0091457d92
152a1e5c0b5e0c
hex150c02d0930c

23141331014412 has 144 divisors (see below), whose sum is σ = 61182431858688. Its totient is φ = 6796324154880.

The previous prime is 23141331014411. The next prime is 23141331014441. The reversal of 23141331014412 is 21441013314132.

It is a super-2 number, since 2×231413310144122 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23141331014412.

It is not an unprimeable number, because it can be changed into a prime (23141331014411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2068173 + ... + 7110555.

Almost surely, 223141331014412 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 23141331014412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30591215929344).

23141331014412 is an abundant number, since it is smaller than the sum of its proper divisors (38041100844276).

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

23141331014412 is a wasteful number, since it uses less digits than its factorization.

23141331014412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5042520 (or 5042505 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 23141331014412 its reverse (21441013314132), we get a palindrome (44582344328544).

The spelling of 23141331014412 in words is "twenty-three trillion, one hundred forty-one billion, three hundred thirty-one million, fourteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 73 78 93 124 146 156 169 186 219 292 338 372 403 438 507 676 806 876 949 1014 1209 1612 1898 2028 2263 2418 2847 3796 4526 4836 5239 5694 6789 9052 10478 11388 12337 13578 15717 20956 24674 27156 29419 31434 37011 49348 58838 62868 74022 88257 117676 148044 176514 353028 382447 764894 1147341 1529788 2294682 4589364 5042383 10084766 15127149 20169532 30254298 60508596 65550979 131101958 156313873 196652937 262203916 312627746 368093959 393305874 468941619 625255492 736187918 786611748 852162727 937883238 1104281877 1472375836 1704325454 1875766476 2032080349 2208563754 2556488181 3408650908 4064160698 4417127508 4785221467 5112976362 6096241047 8128321396 9570442934 10225952724 11410912729 12192482094 14355664401 19140885868 22821825458 24384964188 26417044537 28711328802 34232738187 45643650916 52834089074 57422657604 62207879071 68465476374 79251133611 105668178148 124415758142 136930952748 148341865477 158502267222 186623637213 248831516284 296683730954 317004534444 373247274426 445025596431 593367461908 746494548852 890051192862 1780102385724 1928444251201 3856888502402 5785332753603 7713777004804 11570665507206 23141331014412