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240625401420 = 223514941536481
BaseRepresentation
bin1110000000011001100…
…1000011111001001100
3212000002121010220110110
43200012121003321030
512420300100321140
6302313005240020
723245631110365
oct3400631037114
9760077126413
10240625401420
1193059847618
123a774b63010
13198c9b22141
14b909768b6c
1563d4ce5380
hex3806643e4c

240625401420 has 96 divisors (see below), whose sum is σ = 678540945600. Its totient is φ = 63710945280.

The previous prime is 240625401407. The next prime is 240625401421. The reversal of 240625401420 is 24104526042.

It is a super-2 number, since 2×2406254014202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (240625401421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37124580 + ... + 37131060.

It is an arithmetic number, because the mean of its divisors is an integer number (7068134850).

Almost surely, 2240625401420 is an apocalyptic number.

240625401420 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 240625401420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339270472800).

240625401420 is an abundant number, since it is smaller than the sum of its proper divisors (437915544180).

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

240625401420 is a wasteful number, since it uses less digits than its factorization.

240625401420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10795 (or 10793 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 240625401420 its reverse (24104526042), we get a palindrome (264729927462).

The spelling of 240625401420 in words is "two hundred forty billion, six hundred twenty-five million, four hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1788 2235 2980 4153 4470 6481 8306 8940 12459 12962 16612 19443 20765 24918 25924 32405 38886 41530 49836 62295 64810 77772 83060 97215 124590 129620 194430 249180 388860 618797 965669 1237594 1856391 1931338 2475188 2897007 3093985 3712782 3862676 4828345 5794014 6187970 7425564 9281955 9656690 11588028 12375940 14485035 18563910 19313380 26915593 28970070 37127820 53831186 57940140 80746779 107662372 134577965 161493558 269155930 322987116 403733895 538311860 807467790 1614935580 4010423357 8020846714 12031270071 16041693428 20052116785 24062540142 40104233570 48125080284 60156350355 80208467140 120312700710 240625401420