Search a number
-
+
240003021132224 = 2671916834106621
BaseRepresentation
bin110110100100100000001110…
…110100011101000111000000
31011110210001202012100111011222
4312210200032310131013000
5222424202141402212344
62210235511003054212
7101360434412520110
oct6644401664350700
91143701665314158
10240003021132224
116a521789621809
1222b0223a211368
13a3bc25972973c
14433a2cb447040
151cb30691265ee
hexda480ed1d1c0

240003021132224 has 112 divisors (see below), whose sum is σ = 547943485280256. Its totient is φ = 102170077363200.

The previous prime is 240003021132223. The next prime is 240003021132241. The reversal of 240003021132224 is 422231120300042.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 240003021132193 and 240003021132202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240003021132223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56389634 + ... + 60496254.

Almost surely, 2240003021132224 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 240003021132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273971742640128).

240003021132224 is an abundant number, since it is smaller than the sum of its proper divisors (307940464148032).

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

240003021132224 is a wasteful number, since it uses less digits than its factorization.

240003021132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4107514 (or 4107504 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 240003021132224 its reverse (422231120300042), we get a palindrome (662234141432266).

The spelling of 240003021132224 in words is "two hundred forty trillion, three billion, twenty-one million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 191 224 382 448 683 764 1337 1366 1528 2674 2732 3056 4781 5348 5464 6112 9562 10696 10928 12224 19124 21392 21856 38248 42784 43712 76496 85568 130453 152992 260906 305984 521812 913171 1043624 1826342 2087248 3652684 4106621 4174496 7305368 8213242 8348992 14610736 16426484 28746347 29221472 32852968 57492694 58442944 65705936 114985388 131411872 229970776 262823744 459941552 784364611 919883104 1568729222 1839766208 2804822143 3137458444 5490552277 5609644286 6274916888 10981104554 11219288572 12549833776 19633755001 21962209108 22438577144 25099667552 39267510002 43924418216 44877154288 50199335104 78535020004 87848836432 89754308576 157070040008 175697672864 179508617152 314140080016 351395345728 535721029313 628280160032 1071442058626 1256560320064 2142884117252 3750047205191 4285768234504 7500094410382 8571536469008 15000188820764 17143072938016 30000377641528 34286145876032 60000755283056 120001510566112 240003021132224