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1141322040 = 233253123299
BaseRepresentation
bin100010000000111…
…0011000100111000
32221112121011111200
41010001303010320
54314134301130
6305130254200
740166035335
oct10401630470
92845534450
101141322040
11536279161
1227a287360
131525bb1b1
14ab81798c
156a2e9760
hex44073138

1141322040 has 144 divisors (see below), whose sum is σ = 3833973000. Its totient is φ = 294445440.

The previous prime is 1141322033. The next prime is 1141322051. The reversal of 1141322040 is 402231411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 344311 + ... + 347609.

Almost surely, 21141322040 is an apocalyptic number.

1141322040 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 1141322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916986500).

1141322040 is an abundant number, since it is smaller than the sum of its proper divisors (2692650960).

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

1141322040 is a wasteful number, since it uses less digits than its factorization.

1141322040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1141322040 is about 33783.4580823219. The cubic root of 1141322040 is about 1045.0475898445.

Adding to 1141322040 its reverse (402231411), we get a palindrome (1543553451).

The spelling of 1141322040 in words is "one billion, one hundred forty-one million, three hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 961 1116 1240 1395 1860 1922 2232 2790 2883 3299 3720 3844 4805 5580 5766 6598 7688 8649 9610 9897 11160 11532 13196 14415 16495 17298 19220 19794 23064 26392 28830 29691 32990 34596 38440 39588 43245 49485 57660 59382 65980 69192 79176 86490 98970 102269 115320 118764 131960 148455 172980 197940 204538 237528 296910 306807 345960 395880 409076 511345 593820 613614 818152 920421 1022690 1187640 1227228 1534035 1840842 2045380 2454456 3068070 3170339 3681684 4090760 4602105 6136140 6340678 7363368 9204210 9511017 12272280 12681356 15851695 18408420 19022034 25362712 28533051 31703390 36816840 38044068 47555085 57066102 63406780 76088136 95110170 114132204 126813560 142665255 190220340 228264408 285330510 380440680 570661020 1141322040