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1154398234164 = 223728942175231
BaseRepresentation
bin10000110011000111011…
…111110010011000110100
311002100200222221101101020
4100303013133302120310
5122403201421443124
62242153452301140
7146255031042300
oct20630737623064
94070628841336
101154398234164
1140563978750a
121678917717b0
1384b22b10306
143dc31db2d00
1520066531379
hex10cc77f2634

1154398234164 has 144 divisors (see below), whose sum is σ = 3169930256640. Its totient is φ = 325982469120.

The previous prime is 1154398234151. The next prime is 1154398234183. The reversal of 1154398234164 is 4614328934511.

It is a super-2 number, since 2×11543982341642 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220681429 + ... + 220686659.

It is an arithmetic number, because the mean of its divisors is an integer number (22013404560).

Almost surely, 21154398234164 is an apocalyptic number.

1154398234164 is a gapful number since it is divisible by the number (14) 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 1154398234164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584965128320).

1154398234164 is an abundant number, since it is smaller than the sum of its proper divisors (2015532022476).

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

1154398234164 is a wasteful number, since it uses less digits than its factorization.

1154398234164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9558 (or 9549 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The spelling of 1154398234164 in words is "one trillion, one hundred fifty-four billion, three hundred ninety-eight million, two hundred thirty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 89 98 147 178 196 267 294 356 534 588 623 1068 1246 1869 2492 3738 4217 4361 5231 7476 8434 8722 10462 12651 13083 15693 16868 17444 20924 25302 26166 29519 31386 36617 50604 52332 59038 62772 73234 88557 109851 118076 146468 177114 206633 219702 256319 354228 375313 413266 439404 465559 512638 619899 750626 768957 826532 931118 1025276 1125939 1239798 1396677 1501252 1537914 1862236 2251878 2479596 2627191 2793354 3075828 3258913 4503756 5254382 5586708 6517826 7881573 9776739 10508764 13035652 15763146 18390337 19553478 22059127 22812391 31526292 36780674 39106956 44118254 45624782 55171011 66177381 68437173 73561348 88236508 91249564 110342022 132354762 136874346 154413889 220684044 264709524 273748692 308827778 463241667 617655556 926483334 1080897223 1852966668 1963262303 2161794446 3242691669 3926524606 4323588892 5889786909 6485383338 7853049212 11779573818 12970766676 13742836121 23559147636 27485672242 41228508363 54971344484 82457016726 96199852847 164914033452 192399705694 288599558541 384799411388 577199117082 1154398234164