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1141040432 = 2474347712
BaseRepresentation
bin100010000000010…
…1110010100110000
32221112001212012202
41010000232110300
54314101243212
6305120242332
740163453330
oct10400562460
92845055182
101141040432
115360a6624
1227a1703a8
1315251cc6c
14ab7830c0
156a2910c2
hex4402e530

1141040432 has 120 divisors (see below), whose sum is σ = 2678066688. Its totient is φ = 460897920.

The previous prime is 1141040423. The next prime is 1141040473. The reversal of 1141040432 is 2340401411.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16070957 + ... + 16071027.

Almost surely, 21141040432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141040432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339033344).

1141040432 is an abundant number, since it is smaller than the sum of its proper divisors (1537026256).

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

1141040432 is an equidigital number, since it uses as much as digits as its factorization.

1141040432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 170 counting only the distinct ones).

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

The square root of 1141040432 is about 33779.2899866175. The cubic root of 1141040432 is about 1044.9616316430.

Adding to 1141040432 its reverse (2340401411), we get a palindrome (3481441843).

The spelling of 1141040432 in words is "one billion, one hundred forty-one million, forty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 43 47 56 71 86 94 112 142 172 188 284 301 329 344 376 497 568 602 658 688 752 994 1136 1204 1316 1988 2021 2408 2632 3053 3337 3976 4042 4816 5041 5264 6106 6674 7952 8084 10082 12212 13348 14147 16168 20164 21371 23359 24424 26696 28294 32336 35287 40328 42742 46718 48848 53392 56588 70574 80656 85484 93436 113176 141148 143491 170968 186872 216763 226352 236927 282296 286982 341936 373744 433526 473854 564592 573964 867052 947708 1004437 1147928 1517341 1658489 1734104 1895416 2008874 2295856 3034682 3316978 3468208 3790832 4017748 6069364 6633956 8035496 10187861 12138728 13267912 16070992 20375722 24277456 26535824 40751444 71315027 81502888 142630054 163005776 285260108 570520216 1141040432