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124242401440 = 25519401910169
BaseRepresentation
bin111001110110101101…
…1001001100010100000
3102212200122222221012201
41303231123021202200
54013422023321230
6133024241502544
711655561662503
oct1635533114240
9385618887181
10124242401440
1148766662113
12200b4641a54
13b9400ba991
14602895913a
15337265d5ca
hex1ced6c98a0

124242401440 has 96 divisors (see below), whose sum is σ = 309078504000. Its totient is φ = 47064987648.

The previous prime is 124242401429. The next prime is 124242401441. The reversal of 124242401440 is 44104242421.

It is a happy number.

It is a super-2 number, since 2×1242424014402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 124242401399 and 124242401408.

It is not an unprimeable number, because it can be changed into a prime (124242401441) 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, 12212676 + ... + 12222844.

It is an arithmetic number, because the mean of its divisors is an integer number (3219567750).

Almost surely, 2124242401440 is an apocalyptic number.

124242401440 is a gapful number since it is divisible by the number (10) 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 124242401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154539252000).

124242401440 is an abundant number, since it is smaller than the sum of its proper divisors (184836102560).

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

124242401440 is a wasteful number, since it uses less digits than its factorization.

124242401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14222 (or 14214 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 124242401440 its reverse (44104242421), we get a palindrome (168346643861).

The spelling of 124242401440 in words is "one hundred twenty-four billion, two hundred forty-two million, four hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 4019 8038 10169 16076 20095 20338 32152 40190 40676 50845 64304 76361 80380 81352 101690 128608 152722 160760 162704 193211 203380 305444 321520 325408 381805 386422 406760 610888 643040 763610 772844 813520 966055 1221776 1527220 1545688 1627040 1932110 2443552 3054440 3091376 3864220 6108880 6182752 7728440 12217760 15456880 30913760 40869211 81738422 163476844 204346055 326953688 408692110 653907376 776515009 817384220 1307814752 1553030018 1634768440 3106060036 3269536880 3882575045 6212120072 6539073760 7765150090 12424240144 15530300180 24848480288 31060600360 62121200720 124242401440