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1141432040 = 2357234212
BaseRepresentation
bin100010000001000…
…1101111011101000
32221112210202101202
41010002031323220
54314201311130
6305132503332
740200004130
oct10402157350
92845722352
101141432040
11536343871
1227a31ab48
13152629298
14ab845ac0
156a31c145
hex4408dee8

1141432040 has 96 divisors (see below), whose sum is σ = 3070016640. Its totient is φ = 373443840.

The previous prime is 1141432027. The next prime is 1141432043. The reversal of 1141432040 is 402341411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141432043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2711030 + ... + 2711450.

It is an arithmetic number, because the mean of its divisors is an integer number (31979340).

Almost surely, 21141432040 is an apocalyptic number.

1141432040 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 1141432040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535008320).

1141432040 is an abundant number, since it is smaller than the sum of its proper divisors (1928584600).

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

1141432040 is an equidigital number, since it uses as much as digits as its factorization.

1141432040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1141432040 is about 33785.0860587923. The cubic root of 1141432040 is about 1045.0811624728.

Adding to 1141432040 its reverse (402341411), we get a palindrome (1543773451).

The spelling of 1141432040 in words is "one billion, one hundred forty-one million, four hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 421 460 644 805 842 920 1288 1610 1684 2105 2947 3220 3368 4210 5894 6440 8420 9683 11788 14735 16840 19366 23576 29470 38732 48415 58940 67781 77464 96830 117880 135562 177241 193660 271124 338905 354482 387320 542248 677810 708964 886205 1240687 1355620 1417928 1772410 2481374 2711240 3544820 4076543 4962748 6203435 7089640 8153086 9925496 12406870 16306172 20382715 24813740 28535801 32612344 40765430 49627480 57071602 81530860 114143204 142679005 163061720 228286408 285358010 570716020 1141432040