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1241401248 = 25331499643
BaseRepresentation
bin100100111111110…
…0100011110100000
310012111220201101000
41021333210132200
510020244314443
6323103312000
742522510423
oct11177443640
93174821330
101241401248
1158781414a
122a78ab600
1316a25ba69
14bac299ba
1573eb78d3
hex49fe47a0

1241401248 has 96 divisors (see below), whose sum is σ = 3645432000. Its totient is φ = 410980608.

The previous prime is 1241401243. The next prime is 1241401277. The reversal of 1241401248 is 8421041421.

1241401248 is a `hidden beast` number, since 1 + 2 + 414 + 0 + 1 + 248 = 666.

1241401248 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1241401243) 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, 123915 + ... + 133557.

It is an arithmetic number, because the mean of its divisors is an integer number (37973250).

Almost surely, 21241401248 is an apocalyptic number.

1241401248 is a gapful number since it is divisible by the number (18) 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 1241401248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822716000).

1241401248 is an abundant number, since it is smaller than the sum of its proper divisors (2404030752).

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

1241401248 is a wasteful number, since it uses less digits than its factorization.

1241401248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9811 (or 9797 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1241401248 is about 35233.5244901784. The cubic root of 1241401248 is about 1074.7415994754.

Adding to 1241401248 its reverse (8421041421), we get a palindrome (9662442669).

The spelling of 1241401248 in words is "one billion, two hundred forty-one million, four hundred one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 149 216 288 298 432 447 596 864 894 1192 1341 1788 2384 2682 3576 4023 4768 5364 7152 8046 9643 10728 14304 16092 19286 21456 28929 32184 38572 42912 57858 64368 77144 86787 115716 128736 154288 173574 231432 260361 308576 347148 462864 520722 694296 925728 1041444 1388592 1436807 2082888 2777184 2873614 4165776 4310421 5747228 8331552 8620842 11494456 12931263 17241684 22988912 25862526 34483368 38793789 45977824 51725052 68966736 77587578 103450104 137933472 155175156 206900208 310350312 413800416 620700624 1241401248