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1144109016 = 2333191491871
BaseRepresentation
bin100010000110001…
…1011011111011000
32221201211202112000
41010030123133120
54320342442031
6305310121000
740231523541
oct10414333730
92851752460
101144109016
11537902046
1227b1b0160
131530558ab
14abd414c8
156a69a3e6
hex4431b7d8

1144109016 has 128 divisors (see below), whose sum is σ = 3369600000. Its totient is φ = 358680960.

The previous prime is 1144109003. The next prime is 1144109053. The reversal of 1144109016 is 6109014411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610561 + ... + 612431.

It is an arithmetic number, because the mean of its divisors is an integer number (26325000).

Almost surely, 21144109016 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 1144109016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684800000).

1144109016 is an abundant number, since it is smaller than the sum of its proper divisors (2225490984).

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

1144109016 is a wasteful number, since it uses less digits than its factorization.

1144109016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1144109016 is about 33824.6805749884. The cubic root of 1144109016 is about 1045.8975267247.

The spelling of 1144109016 in words is "one billion, one hundred forty-four million, one hundred nine thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 149 152 171 216 228 298 342 447 456 513 596 684 894 1026 1192 1341 1368 1788 1871 2052 2682 2831 3576 3742 4023 4104 5364 5613 5662 7484 8046 8493 10728 11226 11324 14968 16092 16839 16986 22452 22648 25479 32184 33678 33972 35549 44904 50517 50958 67356 67944 71098 76437 101034 101916 106647 134712 142196 152874 202068 203832 213294 278779 284392 305748 319941 404136 426588 557558 611496 639882 836337 853176 959823 1115116 1279764 1672674 1919646 2230232 2509011 2559528 3345348 3839292 5018022 5296801 6690696 7527033 7678584 10036044 10593602 15054066 15890403 20072088 21187204 30108132 31780806 42374408 47671209 60216264 63561612 95342418 127123224 143013627 190684836 286027254 381369672 572054508 1144109016