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24440031040420 = 22519531677266509
BaseRepresentation
bin1011000111010011000110…
…10111100101001110100100
310012112102222210012010112101
411203221203113211032210
511200411140421243140
6123551332324301444
75101506516120502
oct543514327451644
9105472883163471
1024440031040420
117872a60410186
1228a8784b41884
1310838ba04a768
14606c920cb672
152c5b1bd0399a
hex163a635e53a4

24440031040420 has 96 divisors (see below), whose sum is σ = 55374294124800. Its totient is φ = 9032327576064.

The previous prime is 24440031040417. The next prime is 24440031040433. The reversal of 24440031040420 is 2404013004442.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269875 + ... + 6996634.

It is an arithmetic number, because the mean of its divisors is an integer number (576815563800).

Almost surely, 224440031040420 is an apocalyptic number.

24440031040420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24440031040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27687147062400).

24440031040420 is an abundant number, since it is smaller than the sum of its proper divisors (30934263084380).

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

24440031040420 is a wasteful number, since it uses less digits than its factorization.

24440031040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7266757 (or 7266755 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 24440031040420 its reverse (2404013004442), we get a palindrome (26844044044862).

The spelling of 24440031040420 in words is "twenty-four trillion, four hundred forty billion, thirty-one million, forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 167 190 212 265 334 380 530 668 835 1007 1060 1670 2014 3173 3340 4028 5035 6346 8851 10070 12692 15865 17702 20140 31730 35404 44255 63460 88510 168169 177020 336338 672676 840845 1681690 3363380 7266509 14533018 29066036 36332545 72665090 138063671 145330180 276127342 385124977 552254684 690318355 770249954 1213507003 1380636710 1540499908 1925624885 2427014006 2761273420 3851249770 4854028012 6067535015 7317374563 7702499540 12135070030 14634749126 23056633057 24270140060 29269498252 36586872815 46113266114 64315871159 73173745630 92226532228 115283165285 128631742318 146347491260 230566330570 257263484636 321579355795 461132661140 643158711590 1222001552021 1286317423180 2444003104042 4888006208084 6110007760105 12220015520210 24440031040420