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1241129440 = 25567115777
BaseRepresentation
bin100100111111010…
…0010000111100000
310012111101220112001
41021332202013200
510020212120230
6323053413344
742520266115
oct11176420740
93174356461
101241129440
11587648a11
122a779a254
1316a195125
14bab9890c
1573e620ca
hex49fa21e0

1241129440 has 48 divisors (see below), whose sum is σ = 2975957712. Its totient is φ = 489037824.

The previous prime is 1241129437. The next prime is 1241129441. The reversal of 1241129440 is 449211421.

It is a junction number, because it is equal to n+sod(n) for n = 1241129399 and 1241129408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241129441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47169 + ... + 68608.

It is an arithmetic number, because the mean of its divisors is an integer number (61999119).

Almost surely, 21241129440 is an apocalyptic number.

1241129440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1241129440 is an abundant number, since it is smaller than the sum of its proper divisors (1734828272).

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

1241129440 is a wasteful number, since it uses less digits than its factorization.

1241129440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115859 (or 115851 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1241129440 is about 35229.6670435586. The cubic root of 1241129440 is about 1074.6631546030.

The spelling of 1241129440 in words is "one billion, two hundred forty-one million, one hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 1072 1340 2144 2680 5360 10720 115777 231554 463108 578885 926216 1157770 1852432 2315540 3704864 4631080 7757059 9262160 15514118 18524320 31028236 38785295 62056472 77570590 124112944 155141180 248225888 310282360 620564720 1241129440