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1141121840 = 245411732011
BaseRepresentation
bin100010000000100…
…0010001100110000
32221112012222212212
41010001002030300
54314111344330
6305122111252
740164242555
oct10401021460
92845188785
101141121840
11536151801
1227a1ab528
1315254b031
14ab7a4a2c
156a2aa295
hex44042330

1141121840 has 80 divisors (see below), whose sum is σ = 2734887456. Its totient is φ = 442521600.

The previous prime is 1141121837. The next prime is 1141121843. The reversal of 1141121840 is 481211411.

It is an interprime number because it is at equal distance from previous prime (1141121837) and next prime (1141121843).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1141121843) 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, 566435 + ... + 568445.

Almost surely, 21141121840 is an apocalyptic number.

1141121840 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 1141121840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367443728).

1141121840 is an abundant number, since it is smaller than the sum of its proper divisors (1593765616).

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

1141121840 is a wasteful number, since it uses less digits than its factorization.

1141121840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

The square root of 1141121840 is about 33780.4949638101. The cubic root of 1141121840 is about 1044.9864821248.

The spelling of 1141121840 in words is "one billion, one hundred forty-one million, one hundred twenty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 173 205 328 346 410 656 692 820 865 1384 1640 1730 2011 2768 3280 3460 4022 6920 7093 8044 10055 13840 14186 16088 20110 28372 32176 35465 40220 56744 70930 80440 82451 113488 141860 160880 164902 283720 329804 347903 412255 567440 659608 695806 824510 1319216 1391612 1649020 1739515 2783224 3298040 3479030 5566448 6596080 6958060 13916120 14264023 27832240 28528046 57056092 71320115 114112184 142640230 228224368 285280460 570560920 1141121840