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1114158144 = 263111314027
BaseRepresentation
bin100001001101000…
…1011010001000000
32212122111002122110
41002122023101000
54240211030034
6302320135320
736416121321
oct10232132100
92778432573
101114158144
11521a05560
12271167540
13149a9a098
14a7d86448
1567c30de9
hex4268b440

1114158144 has 112 divisors (see below), whose sum is σ = 3241218816. Its totient is φ = 334963200.

The previous prime is 1114158137. The next prime is 1114158161. The reversal of 1114158144 is 4418514111.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274659 + ... + 278685.

Almost surely, 21114158144 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 1114158144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620609408).

1114158144 is an abundant number, since it is smaller than the sum of its proper divisors (2127060672).

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

1114158144 is a wasteful number, since it uses less digits than its factorization.

1114158144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4184 (or 4174 counting only the distinct ones).

The product of its digits is 2560, while the sum is 30.

The square root of 1114158144 is about 33379.0075346766. The cubic root of 1114158144 is about 1036.6900884668.

The spelling of 1114158144 in words is "one billion, one hundred fourteen million, one hundred fifty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 131 132 176 192 262 264 352 393 524 528 704 786 1048 1056 1441 1572 2096 2112 2882 3144 4027 4192 4323 5764 6288 8054 8384 8646 11528 12081 12576 16108 17292 23056 24162 25152 32216 34584 44297 46112 48324 64432 69168 88594 92224 96648 128864 132891 138336 177188 193296 257728 265782 276672 354376 386592 527537 531564 708752 773184 1055074 1063128 1417504 1582611 2110148 2126256 2835008 3165222 4220296 4252512 5802907 6330444 8440592 8505024 11605814 12660888 16881184 17408721 23211628 25321776 33762368 34817442 46423256 50643552 69634884 92846512 101287104 139269768 185693024 278539536 371386048 557079072 1114158144