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1140998144 = 2141113487
BaseRepresentation
bin100010000000010…
…0100000000000000
32221111222201012112
41010000210000000
54314043420034
6305115314452
740163216126
oct10400440000
92844881175
101140998144
11536077880
1227a14ba28
13152506940
14ab771916
156a2837ce
hex44024000

1140998144 has 120 divisors (see below), whose sum is σ = 2686369728. Its totient is φ = 477757440.

The previous prime is 1140998123. The next prime is 1140998149. The reversal of 1140998144 is 4418990411.

It is a super-2 number, since 2×11409981442 = 2603753529222889472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1140998149) 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, 2342669 + ... + 2343155.

Almost surely, 21140998144 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 1140998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343184864).

1140998144 is an abundant number, since it is smaller than the sum of its proper divisors (1545371584).

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

1140998144 is an equidigital number, since it uses as much as digits as its factorization.

1140998144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 1140998144 is about 33778.6640351569. The cubic root of 1140998144 is about 1044.9487224062.

The spelling of 1140998144 in words is "one billion, one hundred forty million, nine hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 487 512 572 704 832 974 1024 1144 1408 1664 1948 2048 2288 2816 3328 3896 4096 4576 5357 5632 6331 6656 7792 8192 9152 10714 11264 12662 13312 15584 16384 18304 21428 22528 25324 26624 31168 36608 42856 45056 50648 53248 62336 69641 73216 85712 90112 101296 106496 124672 139282 146432 171424 180224 202592 212992 249344 278564 292864 342848 405184 498688 557128 585728 685696 810368 997376 1114256 1171456 1371392 1620736 1994752 2228512 2342912 2742784 3241472 3989504 4457024 5485568 6482944 7979008 8914048 10971136 12965888 17828096 21942272 25931776 35656192 43884544 51863552 71312384 87769088 103727104 142624768 285249536 570499072 1140998144